Finding the Third Proportional to 16,409 and 25,456

Step by Step Solution

1. Step 1: Write the proportion equation
   16,409 : 25,456 = 25,456 : x
2. Step 2: Convert to fraction form
   16,409/25,456 = 25,456/x
3. Step 3: Cross multiply
   16,409x = 25,456 × 25,456
4. Step 4: Simplify right side
   16,409x = 648,007,936
5. Step 5: Solve for x
   x = 648,007,936/16,409
6. Step 6: Final answer
   x = 39,491.01