Finding the Third Proportional to 10.38 and 17.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10.38 : 17.50 = 17.50 : x
2. Step 2: Convert to fraction form
   10.38/17.50 = 17.50/x
3. Step 3: Cross multiply
   10.38x = 17.50 × 17.50
4. Step 4: Simplify right side
   10.38x = 306.25
5. Step 5: Solve for x
   x = 306.25/10.38
6. Step 6: Final answer
   x = 29.52