Finding the Third Proportional to 71,002.50 and 106,686

Step by Step Solution

1. Step 1: Write the proportion equation
   71,002.50 : 106,686 = 106,686 : x
2. Step 2: Convert to fraction form
   71,002.50/106,686 = 106,686/x
3. Step 3: Cross multiply
   71,002.50x = 106,686 × 106,686
4. Step 4: Simplify right side
   71,002.50x = 11,381,902,596
5. Step 5: Solve for x
   x = 11,381,902,596/71,002.50
6. Step 6: Final answer
   x = 160,302.84