Finding the Third Proportional to 31,691.81 and 67,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,691.81 : 67,882.50 = 67,882.50 : x
2. Step 2: Convert to fraction form
   31,691.81/67,882.50 = 67,882.50/x
3. Step 3: Cross multiply
   31,691.81x = 67,882.50 × 67,882.50
4. Step 4: Simplify right side
   31,691.81x = 4,608,033,806.25
5. Step 5: Solve for x
   x = 4,608,033,806.25/31,691.81
6. Step 6: Final answer
   x = 145,401.40