Finding the Third Proportional to 16,842 and 25,596

Step by Step Solution

1. Step 1: Write the proportion equation
   16,842 : 25,596 = 25,596 : x
2. Step 2: Convert to fraction form
   16,842/25,596 = 25,596/x
3. Step 3: Cross multiply
   16,842x = 25,596 × 25,596
4. Step 4: Simplify right side
   16,842x = 655,155,216
5. Step 5: Solve for x
   x = 655,155,216/16,842
6. Step 6: Final answer
   x = 38,900.08