Finding the Third Proportional to 31,684.50 and 67,402.13

Step by Step Solution

1. Step 1: Write the proportion equation
   31,684.50 : 67,402.13 = 67,402.13 : x
2. Step 2: Convert to fraction form
   31,684.50/67,402.13 = 67,402.13/x
3. Step 3: Cross multiply
   31,684.50x = 67,402.13 × 67,402.13
4. Step 4: Simplify right side
   31,684.50x = 4,543,046,454.52
5. Step 5: Solve for x
   x = 4,543,046,454.52/31,684.50
6. Step 6: Final answer
   x = 143,383.88