Finding the Third Proportional to 564.50 and 621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   564.50 : 621.50 = 621.50 : x
2. Step 2: Convert to fraction form
   564.50/621.50 = 621.50/x
3. Step 3: Cross multiply
   564.50x = 621.50 × 621.50
4. Step 4: Simplify right side
   564.50x = 386,262.25
5. Step 5: Solve for x
   x = 386,262.25/564.50
6. Step 6: Final answer
   x = 684.26