Finding the Third Proportional to 2,256.75 and 3,012.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.75 : 3,012.38 = 3,012.38 : x
2. Step 2: Convert to fraction form
   2,256.75/3,012.38 = 3,012.38/x
3. Step 3: Cross multiply
   2,256.75x = 3,012.38 × 3,012.38
4. Step 4: Simplify right side
   2,256.75x = 9,074,403.14
5. Step 5: Solve for x
   x = 9,074,403.14/2,256.75
6. Step 6: Final answer
   x = 4,021.01