Finding the Third Proportional to 10,414 and 16,287

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414 : 16,287 = 16,287 : x
2. Step 2: Convert to fraction form
   10,414/16,287 = 16,287/x
3. Step 3: Cross multiply
   10,414x = 16,287 × 16,287
4. Step 4: Simplify right side
   10,414x = 265,266,369
5. Step 5: Solve for x
   x = 265,266,369/10,414
6. Step 6: Final answer
   x = 25,472.09