Finding the Third Proportional to 7,705 and 16,499

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705 : 16,499 = 16,499 : x
2. Step 2: Convert to fraction form
   7,705/16,499 = 16,499/x
3. Step 3: Cross multiply
   7,705x = 16,499 × 16,499
4. Step 4: Simplify right side
   7,705x = 272,217,001
5. Step 5: Solve for x
   x = 272,217,001/7,705
6. Step 6: Final answer
   x = 35,329.92