Finding the Third Proportional to 1,747.83 and 2,728.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,747.83 : 2,728.05 = 2,728.05 : x
2. Step 2: Convert to fraction form
   1,747.83/2,728.05 = 2,728.05/x
3. Step 3: Cross multiply
   1,747.83x = 2,728.05 × 2,728.05
4. Step 4: Simplify right side
   1,747.83x = 7,442,282.38
5. Step 5: Solve for x
   x = 7,442,282.38/1,747.83
6. Step 6: Final answer
   x = 4,258.02