Finding the Third Proportional to 2,255.75 and 3,315.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,255.75 : 3,315.25 = 3,315.25 : x
2. Step 2: Convert to fraction form
   2,255.75/3,315.25 = 3,315.25/x
3. Step 3: Cross multiply
   2,255.75x = 3,315.25 × 3,315.25
4. Step 4: Simplify right side
   2,255.75x = 10,990,882.56
5. Step 5: Solve for x
   x = 10,990,882.56/2,255.75
6. Step 6: Final answer
   x = 4,872.39