Finding the Third Proportional to 460.92 and 1,002.80

Step by Step Solution

1. Step 1: Write the proportion equation
   460.92 : 1,002.80 = 1,002.80 : x
2. Step 2: Convert to fraction form
   460.92/1,002.80 = 1,002.80/x
3. Step 3: Cross multiply
   460.92x = 1,002.80 × 1,002.80
4. Step 4: Simplify right side
   460.92x = 1,005,601.57
5. Step 5: Solve for x
   x = 1,005,601.57/460.92
6. Step 6: Final answer
   x = 2,181.72