Finding the Third Proportional to 2,256.75 and 3,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.75 : 3,568.50 = 3,568.50 : x
2. Step 2: Convert to fraction form
   2,256.75/3,568.50 = 3,568.50/x
3. Step 3: Cross multiply
   2,256.75x = 3,568.50 × 3,568.50
4. Step 4: Simplify right side
   2,256.75x = 12,734,192.25
5. Step 5: Solve for x
   x = 12,734,192.25/2,256.75
6. Step 6: Final answer
   x = 5,642.71