Finding the Third Proportional to 461.63 and 1,004.06

Step by Step Solution

1. Step 1: Write the proportion equation
   461.63 : 1,004.06 = 1,004.06 : x
2. Step 2: Convert to fraction form
   461.63/1,004.06 = 1,004.06/x
3. Step 3: Cross multiply
   461.63x = 1,004.06 × 1,004.06
4. Step 4: Simplify right side
   461.63x = 1,008,141.50
5. Step 5: Solve for x
   x = 1,008,141.50/461.63
6. Step 6: Final answer
   x = 2,183.90