Finding the Third Proportional to 11,649 and 17,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,649 : 17,311.50 = 17,311.50 : x
2. Step 2: Convert to fraction form
   11,649/17,311.50 = 17,311.50/x
3. Step 3: Cross multiply
   11,649x = 17,311.50 × 17,311.50
4. Step 4: Simplify right side
   11,649x = 299,688,032.25
5. Step 5: Solve for x
   x = 299,688,032.25/11,649
6. Step 6: Final answer
   x = 25,726.50