Finding the Third Proportional to 31,891.50 and 69,402.38

Step by Step Solution

1. Step 1: Write the proportion equation
   31,891.50 : 69,402.38 = 69,402.38 : x
2. Step 2: Convert to fraction form
   31,891.50/69,402.38 = 69,402.38/x
3. Step 3: Cross multiply
   31,891.50x = 69,402.38 × 69,402.38
4. Step 4: Simplify right side
   31,891.50x = 4,816,689,655.64
5. Step 5: Solve for x
   x = 4,816,689,655.64/31,891.50
6. Step 6: Final answer
   x = 151,033.65