Finding the Third Proportional to 12,592 and 17,649

Step by Step Solution

1. Step 1: Write the proportion equation
   12,592 : 17,649 = 17,649 : x
2. Step 2: Convert to fraction form
   12,592/17,649 = 17,649/x
3. Step 3: Cross multiply
   12,592x = 17,649 × 17,649
4. Step 4: Simplify right side
   12,592x = 311,487,201
5. Step 5: Solve for x
   x = 311,487,201/12,592
6. Step 6: Final answer
   x = 24,736.91