Finding the Third Proportional to 1,034.16 and 2,016.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034.16 : 2,016.42 = 2,016.42 : x
2. Step 2: Convert to fraction form
   1,034.16/2,016.42 = 2,016.42/x
3. Step 3: Cross multiply
   1,034.16x = 2,016.42 × 2,016.42
4. Step 4: Simplify right side
   1,034.16x = 4,065,957.18
5. Step 5: Solve for x
   x = 4,065,957.18/1,034.16
6. Step 6: Final answer
   x = 3,931.67