Finding the Third Proportional to 85.50 and 129.38

Step by Step Solution

1. Step 1: Write the proportion equation
   85.50 : 129.38 = 129.38 : x
2. Step 2: Convert to fraction form
   85.50/129.38 = 129.38/x
3. Step 3: Cross multiply
   85.50x = 129.38 × 129.38
4. Step 4: Simplify right side
   85.50x = 16,737.89
5. Step 5: Solve for x
   x = 16,737.89/85.50
6. Step 6: Final answer
   x = 195.76