Finding the Third Proportional to 4,257.75 and 5,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,257.75 : 5,722.50 = 5,722.50 : x
2. Step 2: Convert to fraction form
   4,257.75/5,722.50 = 5,722.50/x
3. Step 3: Cross multiply
   4,257.75x = 5,722.50 × 5,722.50
4. Step 4: Simplify right side
   4,257.75x = 32,747,006.25
5. Step 5: Solve for x
   x = 32,747,006.25/4,257.75
6. Step 6: Final answer
   x = 7,691.15