To solve for the unknown quantity [tex]\( x \)[/tex] in the proportion [tex]\( \frac{18}{54} = \frac{3}{x} \)[/tex], follow these steps:
1. Set up the proportion:
[tex]\(\frac{18}{54} = \frac{3}{x}\)[/tex].
2. Use cross-multiplication to solve for [tex]\( x \)[/tex]:
[tex]\( 18 \cdot x = 54 \cdot 3 \)[/tex].
3. Multiply the numbers on each side:
[tex]\( 18x = 162 \)[/tex].
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 18:
[tex]\( x = \frac{162}{18} \)[/tex].
5. Simplify the division to find that [tex]\( x = 9 \)[/tex].
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 9 \)[/tex].
