I removed the quarter round and two trim boards to install a new hardwood floor. I partially split one of the larger (lower) trim boards. The split is about 24" long. The wood is 12" wide birdseye maple in 14' lengths and is not replaceable at a price I can afford. I would like to repair the split as best as I can. I do not need structural strength here, just a good looking finish. I would prefer not to have to refinish the board.

My current plan is to carefully open the split a bit wider and using a toothpick, work in some good quality carpenters glue (Titebond III seems highly regarded around here) then clamp.

Do you have a better technique? Any tips?