Finding the Third Proportional to 16,564 and 25,638

Step by Step Solution

1. Step 1: Write the proportion equation
   16,564 : 25,638 = 25,638 : x
2. Step 2: Convert to fraction form
   16,564/25,638 = 25,638/x
3. Step 3: Cross multiply
   16,564x = 25,638 × 25,638
4. Step 4: Simplify right side
   16,564x = 657,307,044
5. Step 5: Solve for x
   x = 657,307,044/16,564
6. Step 6: Final answer
   x = 39,682.87