Construct a triangle XYZ with XY=6.5cm, angle X=60 degrees and angle Y=45 degrees. Then construct its circumcircle.

To do this, place the compass point at $X$, draw an arc intersecting $XY$. With the same radius, place the compass point on the intersection and draw another arc to intersect the first arc. Draw a ray from $X$ through this intersection.

To do this, construct a $90^\circ$ angle at $Y$ (by drawing a perpendicular to $XY$). Then, bisect this $90^\circ$ angle to obtain a $45^\circ$ angle. Draw a ray from $Y$ for this angle.

To do this, place the compass point at $X$, open it to more than half the length of $XY$, and draw arcs above and below $XY$. Repeat this with the compass point at $Y$ and the same radius. Draw a line through the intersection points of these arcs.

Repeat the process from Step 1 for side $YZ$.

Draw the circle. This is the circumcircle of $\triangle XYZ$.

Therefore, $XY = WZ$.

With the compass opened to the length of $XY$, draw an arc that intersects the circumcircle. The intersection point (which is not $Y$) is point $W$.

The exact measurement will depend on the accuracy of your physical construction.
For example, if constructed accurately, $XW$ should be approximately $\boxed{\text{5.0 cm}}$.