Finding the Third Proportional to 2,758.50 and 5,712.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,758.50 : 5,712.75 = 5,712.75 : x
2. Step 2: Convert to fraction form
   2,758.50/5,712.75 = 5,712.75/x
3. Step 3: Cross multiply
   2,758.50x = 5,712.75 × 5,712.75
4. Step 4: Simplify right side
   2,758.50x = 32,635,512.56
5. Step 5: Solve for x
   x = 32,635,512.56/2,758.50
6. Step 6: Final answer
   x = 11,830.89