Finding the Third Proportional to 11,082 and 16,413

Step by Step Solution

1. Step 1: Write the proportion equation
   11,082 : 16,413 = 16,413 : x
2. Step 2: Convert to fraction form
   11,082/16,413 = 16,413/x
3. Step 3: Cross multiply
   11,082x = 16,413 × 16,413
4. Step 4: Simplify right side
   11,082x = 269,386,569
5. Step 5: Solve for x
   x = 269,386,569/11,082
6. Step 6: Final answer
   x = 24,308.48