Finding the Third Proportional to 465.59 and 1,004.27

Step by Step Solution

1. Step 1: Write the proportion equation
   465.59 : 1,004.27 = 1,004.27 : x
2. Step 2: Convert to fraction form
   465.59/1,004.27 = 1,004.27/x
3. Step 3: Cross multiply
   465.59x = 1,004.27 × 1,004.27
4. Step 4: Simplify right side
   465.59x = 1,008,550.24
5. Step 5: Solve for x
   x = 1,008,550.24/465.59
6. Step 6: Final answer
   x = 2,166.17