Finding the Third Proportional to 1,783.69 and 2,560.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.69 : 2,560.78 = 2,560.78 : x
2. Step 2: Convert to fraction form
   1,783.69/2,560.78 = 2,560.78/x
3. Step 3: Cross multiply
   1,783.69x = 2,560.78 × 2,560.78
4. Step 4: Simplify right side
   1,783.69x = 6,557,600.61
5. Step 5: Solve for x
   x = 6,557,600.61/1,783.69
6. Step 6: Final answer
   x = 3,676.43