Finding the Third Proportional to 31,423.50 and 66,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,423.50 : 66,078.50 = 66,078.50 : x
2. Step 2: Convert to fraction form
   31,423.50/66,078.50 = 66,078.50/x
3. Step 3: Cross multiply
   31,423.50x = 66,078.50 × 66,078.50
4. Step 4: Simplify right side
   31,423.50x = 4,366,368,162.25
5. Step 5: Solve for x
   x = 4,366,368,162.25/31,423.50
6. Step 6: Final answer
   x = 138,952.32