Merging 2 2D sketches to get a 3D profile

I am trying to get a 3d profile of 2 2d sketches in perpendicular planes. Hopefully the pictures help illustrate my point

The above pictures are only an example to illustrate my point, I want to project both of the 2d sketches

in such a way that I get a 3d sketch at the intersection point

SolidworksSketching