Finding the Third Proportional to 5,323.50 and 5,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,323.50 : 5,728.50 = 5,728.50 : x
2. Step 2: Convert to fraction form
   5,323.50/5,728.50 = 5,728.50/x
3. Step 3: Cross multiply
   5,323.50x = 5,728.50 × 5,728.50
4. Step 4: Simplify right side
   5,323.50x = 32,815,712.25
5. Step 5: Solve for x
   x = 32,815,712.25/5,323.50
6. Step 6: Final answer
   x = 6,164.31