Finding the Third Proportional to 12,294 and 17,649

Step by Step Solution

1. Step 1: Write the proportion equation
   12,294 : 17,649 = 17,649 : x
2. Step 2: Convert to fraction form
   12,294/17,649 = 17,649/x
3. Step 3: Cross multiply
   12,294x = 17,649 × 17,649
4. Step 4: Simplify right side
   12,294x = 311,487,201
5. Step 5: Solve for x
   x = 311,487,201/12,294
6. Step 6: Final answer
   x = 25,336.52