Finding the Third Proportional to 16,204 and 25,386

Step by Step Solution

1. Step 1: Write the proportion equation
   16,204 : 25,386 = 25,386 : x
2. Step 2: Convert to fraction form
   16,204/25,386 = 25,386/x
3. Step 3: Cross multiply
   16,204x = 25,386 × 25,386
4. Step 4: Simplify right side
   16,204x = 644,448,996
5. Step 5: Solve for x
   x = 644,448,996/16,204
6. Step 6: Final answer
   x = 39,770.98