Finding the Third Proportional to 1,642.46 and 2,480.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642.46 : 2,480.78 = 2,480.78 : x
2. Step 2: Convert to fraction form
   1,642.46/2,480.78 = 2,480.78/x
3. Step 3: Cross multiply
   1,642.46x = 2,480.78 × 2,480.78
4. Step 4: Simplify right side
   1,642.46x = 6,154,285.30
5. Step 5: Solve for x
   x = 6,154,285.30/1,642.46
6. Step 6: Final answer
   x = 3,746.98