Question 1061647
This is not the whole solution answer, but a way to begin.


The TANGENT line.    Draw first just the tangent line.  You know you will need two circles, so now draw each of them.  Show one circle, and some distance away, show the other circle.  Distance between the two tangency points is  26.5 as given.  The center of each circle to its tancency point is the radius of the circle.  The smaller of these is 2.4 units and the larger of these is 9.3 units.  Now you have THREE known side lengths of a trapezoid.  


Note also that  each of the perpendicular radii make 90 degree angle to the tangent line.  

Put all this onto a cartesian coordinate system!   Make the tangent line be contained in the x-axis.  If you put the two perpendicular radii extending toward the positive y-direction; and if you align the left-most circle's radius on the y-axis, then your centers of your circles will have two identifiable points.  What is the distance between these two points, forming the unknown length of the trapezoid?  Use the Distance Formula.


Can you follow that description?  


Let this be a way to form the figure on Cartesian system:
(0,0) tangency point for small circle, and center is at (0,2.4).
(26.5,0) tangency point for big circle, and center is at  (26.5,9.3).
If put these into the Distance Formula, this expression is the distance between the centers of the circles.