Finding the Third Proportional to 2,352.25 and 5,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352.25 : 5,028.50 = 5,028.50 : x
2. Step 2: Convert to fraction form
   2,352.25/5,028.50 = 5,028.50/x
3. Step 3: Cross multiply
   2,352.25x = 5,028.50 × 5,028.50
4. Step 4: Simplify right side
   2,352.25x = 25,285,812.25
5. Step 5: Solve for x
   x = 25,285,812.25/2,352.25
6. Step 6: Final answer
   x = 10,749.63