Finding the Third Proportional to 928.27 and 2,002.71

Step by Step Solution

1. Step 1: Write the proportion equation
   928.27 : 2,002.71 = 2,002.71 : x
2. Step 2: Convert to fraction form
   928.27/2,002.71 = 2,002.71/x
3. Step 3: Cross multiply
   928.27x = 2,002.71 × 2,002.71
4. Step 4: Simplify right side
   928.27x = 4,010,851.10
5. Step 5: Solve for x
   x = 4,010,851.10/928.27
6. Step 6: Final answer
   x = 4,320.80