Finding the Third Proportional to 576.56 and 630.56

Step by Step Solution

1. Step 1: Write the proportion equation
   576.56 : 630.56 = 630.56 : x
2. Step 2: Convert to fraction form
   576.56/630.56 = 630.56/x
3. Step 3: Cross multiply
   576.56x = 630.56 × 630.56
4. Step 4: Simplify right side
   576.56x = 397,609.07
5. Step 5: Solve for x
   x = 397,609.07/576.56
6. Step 6: Final answer
   x = 689.62