Pretend at least to be interested. Relax and be yourself. Well, sometimes people try to act differently than they normally would to impress or show off to a new acquaintance. Show that you have an active interest in the other person's professional and personal life. When an appropriate time comes, ask them to tell you about their family and their business if they have not already done so.
People love to talk about themselves.
They usually feel flattered and respected when others, especially people who have never met them, show real interest in their business and their personal life. Inc. They want to get to know you and have you get to know them. Experienced and secure business people are not impressed by who you know as much as what you know. Bragging about your financial, business or social coups or feats is likewise in bad taste and not recommended. Just keep it simple and factual and be yourself.