Suppose we know the 3D CAD model of a commercial propeller. Starting from that, we do the slicing to get the profile of airfoil being used to generate the complete shape of the propeller. How do we know the kinds of the airfoil from those section? Knowing there are thousands of airfoil profiles out of there, and we don't want to compare it one by one and mathcing the shape
If you had a guess as to the family of airfoils -- and that family was parametrically defined -- you could write a program to do a nonlinear least squares fit of that family to your points. However, if the airfoil was in-house or custom designed, then that would only find the closest airfoil in the family to the one that was used. It probably isn't worth the trouble.
In the old days, most propellers used a Clark Y airfoil (along with everything else). The NACA 16-series airfoil series was specifically developed for propellers. The NACA 65-series airfoils are also frequently used on propellers.
If you have a CAD model that represents the foils accurately (often CAD models of propellers don't have real foil properties accurately represented) -- such that you can extract points and believe them, you should just use those points.
I assume you're after sectional aerodynamic data (lift, drag, moment) of the airfoils. If you have high quality points, just perform a 2D analysis of the points and use your own computation. That will work no matter the airfoil source.