Finding the Third Proportional to 584.72 and 631.55

Step by Step Solution

1. Step 1: Write the proportion equation
   584.72 : 631.55 = 631.55 : x
2. Step 2: Convert to fraction form
   584.72/631.55 = 631.55/x
3. Step 3: Cross multiply
   584.72x = 631.55 × 631.55
4. Step 4: Simplify right side
   584.72x = 398,851.46
5. Step 5: Solve for x
   x = 398,851.46/584.72
6. Step 6: Final answer
   x = 682.13