Finding the Third Proportional to 15.38 and 34.13

Step by Step Solution

1. Step 1: Write the proportion equation
   15.38 : 34.13 = 34.13 : x
2. Step 2: Convert to fraction form
   15.38/34.13 = 34.13/x
3. Step 3: Cross multiply
   15.38x = 34.13 × 34.13
4. Step 4: Simplify right side
   15.38x = 1,164.52
5. Step 5: Solve for x
   x = 1,164.52/15.38
6. Step 6: Final answer
   x = 75.74