Finding the Third Proportional to 1,023.09 and 2,233.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.09 : 2,233.59 = 2,233.59 : x
2. Step 2: Convert to fraction form
   1,023.09/2,233.59 = 2,233.59/x
3. Step 3: Cross multiply
   1,023.09x = 2,233.59 × 2,233.59
4. Step 4: Simplify right side
   1,023.09x = 4,988,941.04
5. Step 5: Solve for x
   x = 4,988,941.04/1,023.09
6. Step 6: Final answer
   x = 4,876.33