Finding the Third Proportional to 2,732.06 and 4,180.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,732.06 : 4,180.78 = 4,180.78 : x
2. Step 2: Convert to fraction form
   2,732.06/4,180.78 = 4,180.78/x
3. Step 3: Cross multiply
   2,732.06x = 4,180.78 × 4,180.78
4. Step 4: Simplify right side
   2,732.06x = 17,478,931.86
5. Step 5: Solve for x
   x = 17,478,931.86/2,732.06
6. Step 6: Final answer
   x = 6,397.71