Question
Find the third proportional to $8$ and $12.$

Answer

Suppose that the third proportional to $8$ and $12$ is $x$
Then, $8 : 12 :: 12 : x $
$\Rightarrow 8x = 144 ($Product of extremes $=$ Product of means$) $
$x = 18$
Hence, the third proportional is $18.$

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