Question: Nathan Mayer Rothschild is the third child of what German Jewish banker
Context: Mayer Amschel Rothschild, written also Anschel (23 February 1744 – 19 September 1812), was a German Jewish banker and the founder of the Rothschild banking dynasty.  Referred to as the "founding father of international finance," Rothschild was ranked seventh on the "Forbes" magazine list of "The Twenty Most Influential Businessmen of All Time" in 2005. S M von Rothschild was a banking enterprise established in 1820 in Vienna, Austria-Hungary by Salomon Mayer Rothschild, the founder of the Rothschild banking family of Austria and a member of the Mayer Amschel Rothschild family of Frankfurt, Germany.  The business prospered, financing various Austrian government undertakings where large amounts of capital had to be raised.  The bank played a major role in the building of the country's economic infrastructure including the first rail transport networks.  Passed down to Salomon Mayer Rothschild's male heirs, the bank would be run by Anselm von Rothschild (President: 1848–1874), Albert Salomon von Rothschild (President: 1874–1911), and Louis Nathaniel von Rothschild (President: 1911-1939). Mayer Carl Freiherr von Rothschild (5 August 1820 – 16 October 1886) was a German Jewish banker and politician, as well as scion of the Rothschild family. Carl Kuhlmann (25 April 1899 – 18 July 1962) was a German stage and film actor.  He played the role of Nathan Mayer Rothschild in the antisemitic historical film "The Rothschilds" (1940) which was made as an anti-Jewish, anti-British propaganda films during the Second World War. James Mayer de Rothschild, Baron de Rothschild (May 15, 1792 – November 15, 1868), born Jakob Mayer Rothschild, was a German-French banker and the founder of the French branch of the Rothschild family. Nathan Mayer, Freiherr von Rothschild (16 September 1777 – 28 July 1836) was a Jewish German banker, businessman and financier.  He was one of five sons of the second generation of the Rothschild banking dynasty.  He was born in Frankfurt am Main, the third child of Mayer Amschel Rothschild (1744–1812) and Gutle Schnapper (1753–1849).  Once the wealthiest man on earth, he was the richest among the Rothschilds. Baron Amschel Mayer von Rothschild (12 June 1773 – 6 December 1855) was a German Jewish banker of the wealthy Rothschild family. Coningsby, or The New Generation, is an English political novel by Benjamin Disraeli, published in 1844.  It is rumored to be based on Nathan Mayer Rothschild.  According to his biographer, Robert Blake, the character of Sidonia is a cross between Lionel de Rothschild and Disraeli himself. Baron Mayer Amschel de Rothschild (29 June 1818 – 6 February 1874) was an English businessman and politician of the English branch of the Rothschild family.  He was the fourth and youngest son of Nathan Mayer Rothschild (1777–1836).  He was named Mayer Amschel Rothschild, for his grandfather, the patriarch of the Rothschild family. The Rothschild banking family of England was founded in 1798 by Nathan Mayer von Rothschild (1777–1836) who first settled in Manchester but then moved to London.  Nathan was sent there from his home in Frankfurt by his father, Mayer Amschel Rothschild (1744–1812).  Wanting his sons to succeed on their own and to expand the family business across Europe, Mayer Amschel Rothschild had his eldest son remain in Frankfurt, while his four other sons were sent to different European cities to establish a financial institution to invest in business and provide banking services.  Nathan Mayer von Rothschild, the third son, first established a textile jobbing business in Manchester and from there went on to establish N M Rothschild & Sons bank in London.
Answer: Mayer Amschel Rothschild