2) Make another small circle the same radius of the second circle with
the center at the designated point.
3) Draw a line segment from the center of the second circle to the point
which intersects the third circle and the line. The intersection of the
perpendicular bisector of this line segment and the first line is the center
of the desired circle.
Thus, the tangent circle is as follows:
To view the construction of this circle, click on the script below.