The 3rd golfer is Mr. Blue.
Mr. Brown is the liar.
- The 1st golfer’s statement (“The 2nd golfer is Mr. Black”) is true. The 2nd golfer is Mr. Black.
- The 2nd golfer’s statement (“I am not Mr. Blue!”) is true, meaning the 2nd golfer is not Mr. Blue.
- The 3rd golfer’s statement (“Mr. White? That’s the 4th golfer.”) is false, so the 4th golfer is not Mr. White.
Thus, the 3rd golfer must be Mr. Blue.