Finding the Third Proportional to 5,752.75 and 12,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,752.75 : 12,582.50 = 12,582.50 : x
2. Step 2: Convert to fraction form
   5,752.75/12,582.50 = 12,582.50/x
3. Step 3: Cross multiply
   5,752.75x = 12,582.50 × 12,582.50
4. Step 4: Simplify right side
   5,752.75x = 158,319,306.25
5. Step 5: Solve for x
   x = 158,319,306.25/5,752.75
6. Step 6: Final answer
   x = 27,520.63