Finding the Third Proportional to 11,164 and 16,414

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 16,414 = 16,414 : x
2. Step 2: Convert to fraction form
   11,164/16,414 = 16,414/x
3. Step 3: Cross multiply
   11,164x = 16,414 × 16,414
4. Step 4: Simplify right side
   11,164x = 269,419,396
5. Step 5: Solve for x
   x = 269,419,396/11,164
6. Step 6: Final answer
   x = 24,132.87