Finding the Third Proportional to 16,402 and 25,218

Step by Step Solution

1. Step 1: Write the proportion equation
   16,402 : 25,218 = 25,218 : x
2. Step 2: Convert to fraction form
   16,402/25,218 = 25,218/x
3. Step 3: Cross multiply
   16,402x = 25,218 × 25,218
4. Step 4: Simplify right side
   16,402x = 635,947,524
5. Step 5: Solve for x
   x = 635,947,524/16,402
6. Step 6: Final answer
   x = 38,772.56