Finding the Third Proportional to 9,825.75 and 15,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.75 : 15,025.50 = 15,025.50 : x
2. Step 2: Convert to fraction form
   9,825.75/15,025.50 = 15,025.50/x
3. Step 3: Cross multiply
   9,825.75x = 15,025.50 × 15,025.50
4. Step 4: Simplify right side
   9,825.75x = 225,765,650.25
5. Step 5: Solve for x
   x = 225,765,650.25/9,825.75
6. Step 6: Final answer
   x = 22,976.94