Finding the Third Proportional to 16,638 and 25,727

Step by Step Solution

1. Step 1: Write the proportion equation
   16,638 : 25,727 = 25,727 : x
2. Step 2: Convert to fraction form
   16,638/25,727 = 25,727/x
3. Step 3: Cross multiply
   16,638x = 25,727 × 25,727
4. Step 4: Simplify right side
   16,638x = 661,878,529
5. Step 5: Solve for x
   x = 661,878,529/16,638
6. Step 6: Final answer
   x = 39,781.14