Finding the Third Proportional to 11,034 and 16,605

Step by Step Solution

1. Step 1: Write the proportion equation
   11,034 : 16,605 = 16,605 : x
2. Step 2: Convert to fraction form
   11,034/16,605 = 16,605/x
3. Step 3: Cross multiply
   11,034x = 16,605 × 16,605
4. Step 4: Simplify right side
   11,034x = 275,726,025
5. Step 5: Solve for x
   x = 275,726,025/11,034
6. Step 6: Final answer
   x = 24,988.76