Finding the Third Proportional to 4,311 and 5,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,311 : 5,728.50 = 5,728.50 : x
2. Step 2: Convert to fraction form
   4,311/5,728.50 = 5,728.50/x
3. Step 3: Cross multiply
   4,311x = 5,728.50 × 5,728.50
4. Step 4: Simplify right side
   4,311x = 32,815,712.25
5. Step 5: Solve for x
   x = 32,815,712.25/4,311
6. Step 6: Final answer
   x = 7,612.09