Finding the Third Proportional to 1,517.27 and 2,016.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,517.27 : 2,016.77 = 2,016.77 : x
2. Step 2: Convert to fraction form
   1,517.27/2,016.77 = 2,016.77/x
3. Step 3: Cross multiply
   1,517.27x = 2,016.77 × 2,016.77
4. Step 4: Simplify right side
   1,517.27x = 4,067,375.10
5. Step 5: Solve for x
   x = 4,067,375.10/1,517.27
6. Step 6: Final answer
   x = 2,680.71