Finding the Third Proportional to 1,255.78 and 2,704.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.78 : 2,704.78 = 2,704.78 : x
2. Step 2: Convert to fraction form
   1,255.78/2,704.78 = 2,704.78/x
3. Step 3: Cross multiply
   1,255.78x = 2,704.78 × 2,704.78
4. Step 4: Simplify right side
   1,255.78x = 7,315,841.61
5. Step 5: Solve for x
   x = 7,315,841.61/1,255.78
6. Step 6: Final answer
   x = 5,825.73