Finding the Third Proportional to 2,757.50 and 5,737.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,757.50 : 5,737.75 = 5,737.75 : x
2. Step 2: Convert to fraction form
   2,757.50/5,737.75 = 5,737.75/x
3. Step 3: Cross multiply
   2,757.50x = 5,737.75 × 5,737.75
4. Step 4: Simplify right side
   2,757.50x = 32,921,775.06
5. Step 5: Solve for x
   x = 32,921,775.06/2,757.50
6. Step 6: Final answer
   x = 11,938.99