3. Circle $S_{1}$ intersects circle $S_{2}$ at points $A$ and $B$ and is tangent to circle $S_{3}$ at point $Z$. The common tangent of circles $S_{1}$ and $S_{3}$ intersects line $A B$ at point $C$. Also, through $C$ passes line $X Y$, which is tangent to circle $S_{2}$ at point $X$ and to circle $S_{3}$ at point $Y$.

It is known that $A B=7, B C=5, X Z=4 \sqrt{6}$. Find $Y Z$.

It is assumed that points denoted by different letters do not coincide. If there are multiple possible answers, write them in any order separated by a semicolon.
Answer: 12

Allowed for input are digits, a period or comma, a division sign, a semicolon

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