Finding the Third Proportional to 16,386 and 25,633

Step by Step Solution

1. Step 1: Write the proportion equation
   16,386 : 25,633 = 25,633 : x
2. Step 2: Convert to fraction form
   16,386/25,633 = 25,633/x
3. Step 3: Cross multiply
   16,386x = 25,633 × 25,633
4. Step 4: Simplify right side
   16,386x = 657,050,689
5. Step 5: Solve for x
   x = 657,050,689/16,386
6. Step 6: Final answer
   x = 40,098.30