Finding the Third Proportional to 12,151 and 16,414

Step by Step Solution

1. Step 1: Write the proportion equation
   12,151 : 16,414 = 16,414 : x
2. Step 2: Convert to fraction form
   12,151/16,414 = 16,414/x
3. Step 3: Cross multiply
   12,151x = 16,414 × 16,414
4. Step 4: Simplify right side
   12,151x = 269,419,396
5. Step 5: Solve for x
   x = 269,419,396/12,151
6. Step 6: Final answer
   x = 22,172.61