I’m confished too Biggles.

Monkey, are you saying that you match your 3rd great grandfather’s* brother, but you don’t match your third great grandfather?
If they were brothers, DNA wise you should match with both of them.
Are you thinking that the brother is your ancestor rather than your documented third great grandfather? That is, your third great grandfather and his brother are not siblings?.
*I’m assuming that when you say “third grandfather”, you mean third great grandfather?