Finding the Third Proportional to 5,755.50 and 9,096

Step by Step Solution

1. Step 1: Write the proportion equation
   5,755.50 : 9,096 = 9,096 : x
2. Step 2: Convert to fraction form
   5,755.50/9,096 = 9,096/x
3. Step 3: Cross multiply
   5,755.50x = 9,096 × 9,096
4. Step 4: Simplify right side
   5,755.50x = 82,737,216
5. Step 5: Solve for x
   x = 82,737,216/5,755.50
6. Step 6: Final answer
   x = 14,375.33