Finding the Third Proportional to 10,665 and 16,605

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 16,605 = 16,605 : x
2. Step 2: Convert to fraction form
   10,665/16,605 = 16,605/x
3. Step 3: Cross multiply
   10,665x = 16,605 × 16,605
4. Step 4: Simplify right side
   10,665x = 275,726,025
5. Step 5: Solve for x
   x = 275,726,025/10,665
6. Step 6: Final answer
   x = 25,853.35