Finding the Third Proportional to 71,566 and 86,753

Step by Step Solution

1. Step 1: Write the proportion equation
   71,566 : 86,753 = 86,753 : x
2. Step 2: Convert to fraction form
   71,566/86,753 = 86,753/x
3. Step 3: Cross multiply
   71,566x = 86,753 × 86,753
4. Step 4: Simplify right side
   71,566x = 7,526,083,009
5. Step 5: Solve for x
   x = 7,526,083,009/71,566
6. Step 6: Final answer
   x = 105,162.83