Finding the Third Proportional to 16,635 and 25,758

Step by Step Solution

1. Step 1: Write the proportion equation
   16,635 : 25,758 = 25,758 : x
2. Step 2: Convert to fraction form
   16,635/25,758 = 25,758/x
3. Step 3: Cross multiply
   16,635x = 25,758 × 25,758
4. Step 4: Simplify right side
   16,635x = 663,474,564
5. Step 5: Solve for x
   x = 663,474,564/16,635
6. Step 6: Final answer
   x = 39,884.25