Finding the Third Proportional to 461.50 and 1,004

Step by Step Solution

1. Step 1: Write the proportion equation
   461.50 : 1,004 = 1,004 : x
2. Step 2: Convert to fraction form
   461.50/1,004 = 1,004/x
3. Step 3: Cross multiply
   461.50x = 1,004 × 1,004
4. Step 4: Simplify right side
   461.50x = 1,008,016
5. Step 5: Solve for x
   x = 1,008,016/461.50
6. Step 6: Final answer
   x = 2,184.22