Finding the Third Proportional to 8,539 and 17,499

Step by Step Solution

1. Step 1: Write the proportion equation
   8,539 : 17,499 = 17,499 : x
2. Step 2: Convert to fraction form
   8,539/17,499 = 17,499/x
3. Step 3: Cross multiply
   8,539x = 17,499 × 17,499
4. Step 4: Simplify right side
   8,539x = 306,215,001
5. Step 5: Solve for x
   x = 306,215,001/8,539
6. Step 6: Final answer
   x = 35,860.76