Finding the Third Proportional to 31,711.50 and 75,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,711.50 : 75,127.50 = 75,127.50 : x
2. Step 2: Convert to fraction form
   31,711.50/75,127.50 = 75,127.50/x
3. Step 3: Cross multiply
   31,711.50x = 75,127.50 × 75,127.50
4. Step 4: Simplify right side
   31,711.50x = 5,644,141,256.25
5. Step 5: Solve for x
   x = 5,644,141,256.25/31,711.50
6. Step 6: Final answer
   x = 177,984.05