Everyone folds to you and you raise to $6. The small blind folds its $1 and the big blind calls.
They check. You missed, but there's no draw and only one opponent, so you bet $5. They call.
They check. They've shown they can call, so you check too and take a free card.
They check again. You paired your king, so you bet $12, about half the pot. They call with nine-eight.
You take the $47 pot, and you put in $23 of it: $6, $5 and $12.