Finding the Third Proportional to 1,204.56 and 2,639.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.56 : 2,639.78 = 2,639.78 : x
2. Step 2: Convert to fraction form
   1,204.56/2,639.78 = 2,639.78/x
3. Step 3: Cross multiply
   1,204.56x = 2,639.78 × 2,639.78
4. Step 4: Simplify right side
   1,204.56x = 6,968,424.42
5. Step 5: Solve for x
   x = 6,968,424.42/1,204.56
6. Step 6: Final answer
   x = 5,785.04