Finding the Third Proportional to 1,025.88 and 2,256.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.88 : 2,256.88 = 2,256.88 : x
2. Step 2: Convert to fraction form
   1,025.88/2,256.88 = 2,256.88/x
3. Step 3: Cross multiply
   1,025.88x = 2,256.88 × 2,256.88
4. Step 4: Simplify right side
   1,025.88x = 5,093,484.77
5. Step 5: Solve for x
   x = 5,093,484.77/1,025.88
6. Step 6: Final answer
   x = 4,965.02