Finding the Third Proportional to 16,374 and 25,836

Step by Step Solution

1. Step 1: Write the proportion equation
   16,374 : 25,836 = 25,836 : x
2. Step 2: Convert to fraction form
   16,374/25,836 = 25,836/x
3. Step 3: Cross multiply
   16,374x = 25,836 × 25,836
4. Step 4: Simplify right side
   16,374x = 667,498,896
5. Step 5: Solve for x
   x = 667,498,896/16,374
6. Step 6: Final answer
   x = 40,765.78