Finding the Third Proportional to 5,753.25 and 7,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,753.25 : 7,582.50 = 7,582.50 : x
2. Step 2: Convert to fraction form
   5,753.25/7,582.50 = 7,582.50/x
3. Step 3: Cross multiply
   5,753.25x = 7,582.50 × 7,582.50
4. Step 4: Simplify right side
   5,753.25x = 57,494,306.25
5. Step 5: Solve for x
   x = 57,494,306.25/5,753.25
6. Step 6: Final answer
   x = 9,993.36