Finding the Third Proportional to 457.94 and 1,002.13

Step by Step Solution

1. Step 1: Write the proportion equation
   457.94 : 1,002.13 = 1,002.13 : x
2. Step 2: Convert to fraction form
   457.94/1,002.13 = 1,002.13/x
3. Step 3: Cross multiply
   457.94x = 1,002.13 × 1,002.13
4. Step 4: Simplify right side
   457.94x = 1,004,254.52
5. Step 5: Solve for x
   x = 1,004,254.52/457.94
6. Step 6: Final answer
   x = 2,192.99