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First, Second, Third Cousins have to do with how far up the tree you have to go to find a common ancestor. So someone with the same grandparent as you is your first cousin, someone with the same great grandparent is your second cousin, etc.
Once, twice, thrice removed is how far down they are in relation to your generation. So if someone is your cousin, and that cousin has a child, they would be the same type of cousin but once removed.
Thank you for the description, that actually makes it a lot easier to understand.
So how do you go about combining the two?
For example, my great grandfather's sister's grandson was on the USS Thresher when it imploded. What would his relation be to me?
On that note, what do you call your grandparent's sibling, vs your great grandparent's sibling, and so on? Again, Google isn't being very helpful here.
So your first common ancestors are your great great grandparents, so that's third cousin, and they're a generation older than you, so once removed. ~~Third cousin once removed.~~ EDIT: This was incorrect, it's second cousin once removed since that person would be OP's parent's second cousin. See the replies below.
Grandparents' siblings are you great aunts/great uncles, additional generations back you add more greats, so great grandparents' siblings are your great great aunt/uncle. After a while people say "twice great" etc
I believe that the answer is second cousin once removed.
I believe you need to count the distance to the common ancestor from the older generation of the two people being related.
I agree that the first common ancestor is OP's great-great-grandparent. But only OP's relation's great-grandparent. So OP's parent and OP's relation are second cousins.
Then the removed takes you down the tree from OP's parent to OP.
Ah, you're completely right.
If that person had a kid it'd be your third cousin, but since that person is OP's parents' second cousin, they are OP's second cousin once removed.