Finding the Third Proportional to 627.56 and 673.69

Step by Step Solution

1. Step 1: Write the proportion equation
   627.56 : 673.69 = 673.69 : x
2. Step 2: Convert to fraction form
   627.56/673.69 = 673.69/x
3. Step 3: Cross multiply
   627.56x = 673.69 × 673.69
4. Step 4: Simplify right side
   627.56x = 453,854.85
5. Step 5: Solve for x
   x = 453,854.85/627.56
6. Step 6: Final answer
   x = 723.20