Finding the Third Proportional to 16,416 and 25,468

Step by Step Solution

1. Step 1: Write the proportion equation
   16,416 : 25,468 = 25,468 : x
2. Step 2: Convert to fraction form
   16,416/25,468 = 25,468/x
3. Step 3: Cross multiply
   16,416x = 25,468 × 25,468
4. Step 4: Simplify right side
   16,416x = 648,619,024
5. Step 5: Solve for x
   x = 648,619,024/16,416
6. Step 6: Final answer
   x = 39,511.39