Finding the Third Proportional to 2,443.50 and 5,762.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,443.50 : 5,762.53 = 5,762.53 : x
2. Step 2: Convert to fraction form
   2,443.50/5,762.53 = 5,762.53/x
3. Step 3: Cross multiply
   2,443.50x = 5,762.53 × 5,762.53
4. Step 4: Simplify right side
   2,443.50x = 33,206,766.41
5. Step 5: Solve for x
   x = 33,206,766.41/2,443.50
6. Step 6: Final answer
   x = 13,589.84