Finding the Third Proportional to 31,589.88 and 68,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,589.88 : 68,715.50 = 68,715.50 : x
2. Step 2: Convert to fraction form
   31,589.88/68,715.50 = 68,715.50/x
3. Step 3: Cross multiply
   31,589.88x = 68,715.50 × 68,715.50
4. Step 4: Simplify right side
   31,589.88x = 4,721,819,940.25
5. Step 5: Solve for x
   x = 4,721,819,940.25/31,589.88
6. Step 6: Final answer
   x = 149,472.57