Finding the Third Proportional to 16,582 and 25,359

Step by Step Solution

1. Step 1: Write the proportion equation
   16,582 : 25,359 = 25,359 : x
2. Step 2: Convert to fraction form
   16,582/25,359 = 25,359/x
3. Step 3: Cross multiply
   16,582x = 25,359 × 25,359
4. Step 4: Simplify right side
   16,582x = 643,078,881
5. Step 5: Solve for x
   x = 643,078,881/16,582
6. Step 6: Final answer
   x = 38,781.74