Finding the Third Proportional to 451.69 and 673.31

Step by Step Solution

1. Step 1: Write the proportion equation
   451.69 : 673.31 = 673.31 : x
2. Step 2: Convert to fraction form
   451.69/673.31 = 673.31/x
3. Step 3: Cross multiply
   451.69x = 673.31 × 673.31
4. Step 4: Simplify right side
   451.69x = 453,349.72
5. Step 5: Solve for x
   x = 453,349.72/451.69
6. Step 6: Final answer
   x = 1,003.68