Finding the Third Proportional to 1,062.56 and 2,578.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,062.56 : 2,578.78 = 2,578.78 : x
2. Step 2: Convert to fraction form
   1,062.56/2,578.78 = 2,578.78/x
3. Step 3: Cross multiply
   1,062.56x = 2,578.78 × 2,578.78
4. Step 4: Simplify right side
   1,062.56x = 6,650,112.74
5. Step 5: Solve for x
   x = 6,650,112.74/1,062.56
6. Step 6: Final answer
   x = 6,258.56