Finding the Third Proportional to 1,022.06 and 2,399.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.06 : 2,399.34 = 2,399.34 : x
2. Step 2: Convert to fraction form
   1,022.06/2,399.34 = 2,399.34/x
3. Step 3: Cross multiply
   1,022.06x = 2,399.34 × 2,399.34
4. Step 4: Simplify right side
   1,022.06x = 5,756,850.43
5. Step 5: Solve for x
   x = 5,756,850.43/1,022.06
6. Step 6: Final answer
   x = 5,632.58