Finding the Third Proportional to 52,707 and 82,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,707 : 82,084.50 = 82,084.50 : x
2. Step 2: Convert to fraction form
   52,707/82,084.50 = 82,084.50/x
3. Step 3: Cross multiply
   52,707x = 82,084.50 × 82,084.50
4. Step 4: Simplify right side
   52,707x = 6,737,865,140.25
5. Step 5: Solve for x
   x = 6,737,865,140.25/52,707
6. Step 6: Final answer
   x = 127,836.25