Find x if 2, 7, 5 `(x/2)` are in proportion.

Answer

To find the value of \( x \) such that the numbers \( 2, 7, 5, \) and \( \frac{x}{2} \) are in proportion, we can follow these steps:

### Step 1: Set up the proportion
Since the numbers are in proportion, we can set up the equation:
\[ \frac{2}{7} = \frac{5}{\frac{x}{2}} \]

### Step 2: Rewrite the fraction
The fraction on the right side can be rewritten as:
\[ \frac{2}{7} = \frac{5 \cdot 2}{x} \]
This simplifies to:
\[ \frac{2}{7} = \frac{10}{x} \]

### Step 3: Cross-multiply
To eliminate the fractions, we can cross-multiply:
\[ 2 \cdot x = 7 \cdot 10 \]
This gives us:
\[ 2x = 70 \]

### Step 4: Solve for \( x \)
Now, we can solve for \( x \) by dividing both sides by 2:
\[ x = \frac{70}{2} \]
Thus,
\[ x = 35 \]

### Final Answer
The value of \( x \) is \( 35 \).

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