Finding the Third Proportional to 1,017.56 and 2,183.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.56 : 2,183.20 = 2,183.20 : x
2. Step 2: Convert to fraction form
   1,017.56/2,183.20 = 2,183.20/x
3. Step 3: Cross multiply
   1,017.56x = 2,183.20 × 2,183.20
4. Step 4: Simplify right side
   1,017.56x = 4,766,375.89
5. Step 5: Solve for x
   x = 4,766,375.89/1,017.56
6. Step 6: Final answer
   x = 4,684.11