Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func configure(scanner *bufio.Scanner) {
	scanner.Split(bufio.ScanWords)
	scanner.Buffer(make([]byte, 1000005), 1000005)
}
func getNextString(scanner *bufio.Scanner) string {
	scanned := scanner.Scan()
	if !scanned {
		panic("scan failed")
	}
	return scanner.Text()
}
func getNextInt(scanner *bufio.Scanner) int {
	i, _ := strconv.Atoi(getNextString(scanner))
	return i
}
func getNextInt64(scanner *bufio.Scanner) int64 {
	i, _ := strconv.ParseInt(getNextString(scanner), 10, 64)
	return i
}
func getNextFloat64(scanner *bufio.Scanner) float64 {
	i, _ := strconv.ParseFloat(getNextString(scanner), 64)
	return i
}
func main() {
	fp := os.Stdin
	wfp := os.Stdout
	extra := 0
	if os.Getenv("I") == "IronMan" {
		fp, _ = os.Open(os.Getenv("END_GAME"))
		extra = 100
	}
	scanner := bufio.NewScanner(fp)
	configure(scanner)
	writer := bufio.NewWriter(wfp)
	defer func() {
		r := recover()
		if r != nil {
			fmt.Fprintln(writer, r)
		}
		writer.Flush()
	}()
	solve(scanner, writer)
	for i := 0; i < extra; i++ {
		fmt.Fprintln(writer, "-----------------------------------")
		solve(scanner, writer)
	}
}
func solve(scanner *bufio.Scanner, writer *bufio.Writer) {
	a := mint(getNextInt64(scanner))
	b := mint(getNextInt64(scanner))
	x := mint(getNextInt64(scanner))
	var ans mint
	for x-(a-1) >= 0 {
		c := (x - (a - 1)) / (a - b)
		if c == 0 {
			break
		}
		ans.addAs(a.mod().mul(c.mod()))
		x -= c * (a - b)
	}
	if x >= a {
		ans.addAs(x - a).addAs(a.mod()).addAs(b.mod())
	} else {
		ans.addAs(x.mod())
	}
	fmt.Fprintln(writer, ans)
}

type mint int64

func (mt mint) mod() mint {
	m := mint(1e9 + 7)
	mt %= m
	if mt < 0 {
		return mt + m
	}
	return mt
}
func (mt mint) inv() mint {
	return mt.pow(mint(0).sub(2))
}
func (mt mint) pow(n mint) mint {
	p := mint(1)
	for n > 0 {
		if n&1 == 1 {
			p.mulAs(mt)
		}
		mt.mulAs(mt)
		n >>= 1
	}
	return p
}
func (mt mint) add(x mint) mint {
	return (mt + x).mod()
}
func (mt mint) sub(x mint) mint {
	return (mt - x).mod()
}
func (mt mint) mul(x mint) mint {
	return (mt * x).mod()
}
func (mt mint) div(x mint) mint {
	return mt.mul(x.inv())
}
func (mt *mint) addAs(x mint) *mint {
	*mt = mt.add(x)
	return mt
}
func (mt *mint) subAs(x mint) *mint {
	*mt = mt.sub(x)
	return mt
}
func (mt *mint) mulAs(x mint) *mint {
	*mt = mt.mul(x)
	return mt
}
func (mt *mint) divAs(x mint) *mint {
	*mt = mt.div(x)
	return mt
}

C++: #include <bits/stdc++.h>
using namespace std;

#define int long long
#define vvi vector<vector<int>>
#define vec vector
#define pq priority_queue
#define all(v) (v).begin(), (v).end()
#define uniqueV(x) sort(x.begin(), x.end()); x.erase(unique(x.begin(), x.end()), x.end());
#define rep(i, n) for (int (i) = (0); (i) < (n); ++(i))
#define repp(i, m, n) for (int (i) = (m); (i) < (n); ++(i))
#define dbg(x) cerr << #x << ": " << x << endl;
#define dbg2(x, y) cerr<<"("<<#x<<", "<<#y<<") = "<<"("<<x<<", "<<y<<")"<<endl;
#define dbg3(x, y, z) cerr<<"("<<#x<<", "<<#y<<", "<<#z<<") = "<<"("<<x<<", "<<y<<", "<<z<<")"<<endl;
#define dbgB(value, size) cerr<<#value<<": "<<bitset<size>(value) << endl;
#define line() cerr << "---------------" << endl;

const int dx[] = {1, -1, 0, 0};
const int dy[] = {0, 0, -1, 1};
const double PI = 3.14159265358979323846;

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a = b; return 1; } return 0; }

template<typename T>
void print1(T begin, T end) {
  while (begin != end) {
    cout << (*begin) << " ";
    *begin++;
  }
  cout << endl;
}

template<typename T>
void print2(T Array, int height, int width) {
  for (int i = 0; i < height; i++) {
    for (int j = 0; j < width; j++) {
      cout << " " << Array[i][j];
    }
    cout << endl;
  }
}

void print() { std::cerr << endl; }
template <class Head, class... Tail>
void print(Head&& head, Tail&&... tail) {
  std::cerr << head << " ";
  print(std::forward<Tail>(tail)...);
}

template<class T>
void Add(T &a, const T &b, const T &mod=1000000007) {
  int val = ((a % mod) + (b % mod)) % mod;
  if (val < 0) { val += mod; }
  a = val;
}

template <typename X, typename T> auto vectors(X x, T a) { return vector<T>(x, a); }
template <typename X, typename Y, typename Z, typename... Zs> auto vectors(X x, Y y, Z z, Zs... zs) { auto cont = vectors(y, z, zs...); return vector<decltype(cont)>(x, cont); }

// ------------------------------------------------------------------------------------------

const int mod = 1e9 + 7;

int a, b, x;

signed main() {
  cin >> a >> b >> x;

  if (x < a) {
    cout << x % mod << endl;
    return 0;
  }

  int cnt = (x - a) / (a - b);
  int ans = ((cnt%mod) * (a%mod))%mod;
  x -= cnt * (a - b);

  while (x >= a) {
    x -= a;
    x += b;
    ans += a;
    ans %= mod;
  }

  ans += x;
  ans %= mod;

  cout << ans << endl;

  return 0;
}

C++: //↓template↓

#include "bits/stdc++.h"
using namespace std;
#define Would
#define you
#define all(n)  n.begin(),n.end()
const long long INF = 1e18;
const long long MOD = 1e9 + 7;
const double pi = acos(-1);
const int SIZE = 1 << 17;
int dx[] = { 1,0 }, dy[] = { 0,1 }, alp[30];
long long fac[200005], finv[200005], inv[200005];
vector<long long>dij;
struct edge { long long to, cost; };
vector<vector<edge> >G;

long long mod_pow(long long a, long long b) {
	long long res = 1, mul = a;
	for (int i = 0; i < 31; ++i) {
		if (b >> i & 1) {
			res *= mul;
			res %= MOD;
		}
		mul = (mul * mul) % MOD;
	}

	return res;
}

void addedge(int from, int to, int cost) {
	G[from].push_back({ to,cost });
	G[to].push_back({ from,cost });
}

//↑template↑

int main() {
	long long a, b, c;
	cin >> a >> b >> c;
	cout << (max(c - b, (long long)0) / (a - b))*b + c << endl;
}

C++: #include <bits/stdc++.h>
  
using namespace std;
  
#define rep(i,n) REP(i,0,n)
#define REP(i,s,e) for(int i=(s); i<(int)(e); i++)
#define repr(i, n) REPR(i, n, 0)
#define REPR(i, s, e) for(int i=(int)(s-1); i>=(int)(e); i--)
#define pb push_back
#define all(r) r.begin(),r.end()
#define rall(r) r.rbegin(),r.rend()
#define fi first
#define se second
  
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
 
const int INF = 1e9;
const ll MOD = 1e9 + 7;
double EPS = 1e-8;

int main(){
    ll a, b, x;
    cin >> a >> b >> x;
    if(b > x) cout << x % MOD << endl;
    else cout << (x % MOD + (((x-b)/(a-b)%MOD)*(b%MOD)) % MOD) % MOD << endl;
    return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;

int main() {
	long long a,b,x,ans,mod=1000000007;
	cin >> a >> b >> x;
	ans=0;
	if(x>=a){
		ans+=(((1+(x-a)/(a-b)))%mod)*(a%mod);
		ans%=mod;
		x-=((1+(x-a)/(a-b))%mod)*((a-b)%mod);
	}

	ans=(ans+x)%mod;
	cout << ans << endl;
	return 0;
}

C++: #include <iostream>
#define MOD 1000000007

using namespace std;
int main() {
    long long a, b, x;
    cin >> a >> b >> x;
    long long diminish = a - b;
    if (x < a) {
        cout << x%MOD << endl;
        return 0;
    }
    long long trade = (x-a) / diminish + 1;
    trade %= MOD;
    b %= MOD;
    x %= MOD;
    cout << (x + ((trade * b) % MOD)) % MOD << endl;
    return 0;
}

C++: #include <iostream>
#define mod (long long)(1e9+7)
using namespace std;
int main(void){
    
    long long a,b,x;
    scanf("%lld%lld%lld",&a,&b,&x);
    if(x<a)printf("%lld\n",x%mod);
    else{
        long long syo;
        syo=(x-b)/(a-b);
        long long ans=0;
        ans+=(syo%mod)*(a%mod)%mod;
        ans%=mod;
        ans+=(x-(syo%mod)*((a-b)%mod))%mod;
        ans%=mod;
        printf("%lld\n",ans);
    }
    return 0;
}