Finding the Third Proportional to 32.50 and 38.38

Step by Step Solution

1. Step 1: Write the proportion equation
   32.50 : 38.38 = 38.38 : x
2. Step 2: Convert to fraction form
   32.50/38.38 = 38.38/x
3. Step 3: Cross multiply
   32.50x = 38.38 × 38.38
4. Step 4: Simplify right side
   32.50x = 1,472.64
5. Step 5: Solve for x
   x = 1,472.64/32.50
6. Step 6: Final answer
   x = 45.31