Finding the Third Proportional to 2,256.75 and 4,089.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.75 : 4,089.38 = 4,089.38 : x
2. Step 2: Convert to fraction form
   2,256.75/4,089.38 = 4,089.38/x
3. Step 3: Cross multiply
   2,256.75x = 4,089.38 × 4,089.38
4. Step 4: Simplify right side
   2,256.75x = 16,722,987.89
5. Step 5: Solve for x
   x = 16,722,987.89/2,256.75
6. Step 6: Final answer
   x = 7,410.21