Finding the Third Proportional to 31,918.50 and 68,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,918.50 : 68,641.50 = 68,641.50 : x
2. Step 2: Convert to fraction form
   31,918.50/68,641.50 = 68,641.50/x
3. Step 3: Cross multiply
   31,918.50x = 68,641.50 × 68,641.50
4. Step 4: Simplify right side
   31,918.50x = 4,711,655,522.25
5. Step 5: Solve for x
   x = 4,711,655,522.25/31,918.50
6. Step 6: Final answer
   x = 147,615.19