Finding the Third Proportional to 460.69 and 1,006.73

Step by Step Solution

1. Step 1: Write the proportion equation
   460.69 : 1,006.73 = 1,006.73 : x
2. Step 2: Convert to fraction form
   460.69/1,006.73 = 1,006.73/x
3. Step 3: Cross multiply
   460.69x = 1,006.73 × 1,006.73
4. Step 4: Simplify right side
   460.69x = 1,013,514.10
5. Step 5: Solve for x
   x = 1,013,514.10/460.69
6. Step 6: Final answer
   x = 2,200.00