Finding the Third Proportional to 16,414 and 25,463

Step by Step Solution

1. Step 1: Write the proportion equation
   16,414 : 25,463 = 25,463 : x
2. Step 2: Convert to fraction form
   16,414/25,463 = 25,463/x
3. Step 3: Cross multiply
   16,414x = 25,463 × 25,463
4. Step 4: Simplify right side
   16,414x = 648,364,369
5. Step 5: Solve for x
   x = 648,364,369/16,414
6. Step 6: Final answer
   x = 39,500.69