You can set up a ratio as follows:
[tex] \frac{x-22}{87.5}= \frac{22}{77} [/tex]
Solve for x by cross-multiplying:
[tex](x-22)(77) = (87.5)(22)[/tex]
[tex]x = \frac{(87.5)(22)}{77} + 22= 47.01[/tex]
Since we need the answer in mm and right now we have it in feet, we need a conversion ratio. After googling it, the conversion ratio is: 1ft = 304.8mm
[tex]47.01(304.8) = 14326.64[/tex]
So, the answer is 14326.64 mm.