I am trying to create a spreadsheet in Mathcad 4.0 to calculate a station and offset on a horizontal curve (my TGL/center of roadway). The issue I am having is the line that intersects (my centerline of bearings) has a skew to the horizontal curve. All of the definitions of the horizontal curve are known (i.e. radius, delta, the degree of curvature, length, etc.) along with the skew and offset. See the image below for the point consideration on the horizontal curve.
If my centerline was perpendicular to the horizontal curve then the geometry is simple; however, since the line is skewed, I always have two unknowns in my equations. I am wondering if anyone can help with my problem?