The mean proportional of $36$ and $49$ is.

6

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7

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42

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36

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Solution

The correct option is B $42$
Mean proportional of any two numbers can be found by multiplying the two given numbers together, then finding the square root out of their product.
Let the Mean proportional be $S$
$S = 36 \times 49$
$S = 6^{2} \times 7^{2}$
Mean proportional $= \sqrt{6^{2} \times 7^{2}}$
Mean proportional $= 6 \times 7 = 42$

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