Finding the Third Proportional to 11,766.75 and 17,257.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.75 : 17,257.88 = 17,257.88 : x
2. Step 2: Convert to fraction form
   11,766.75/17,257.88 = 17,257.88/x
3. Step 3: Cross multiply
   11,766.75x = 17,257.88 × 17,257.88
4. Step 4: Simplify right side
   11,766.75x = 297,834,249.52
5. Step 5: Solve for x
   x = 297,834,249.52/11,766.75
6. Step 6: Final answer
   x = 25,311.51