re: Who is the third best golfer of all time?

Ben Hogan played the British Open just once, 1953 at Carnoustie, and won. The Brits admiringly called him "The Wee Ice Man" and adored him.

Hogan wrote one of the most influential golf instruction books of all time, technically defining the golf swing with great accuracy.

As far as 3rd goes, a few come close but none top Hogan. His golf swing was perfection personified.