Finding the Third Proportional to 569.38 and 641.38

Step by Step Solution

1. Step 1: Write the proportion equation
   569.38 : 641.38 = 641.38 : x
2. Step 2: Convert to fraction form
   569.38/641.38 = 641.38/x
3. Step 3: Cross multiply
   569.38x = 641.38 × 641.38
4. Step 4: Simplify right side
   569.38x = 411,361.89
5. Step 5: Solve for x
   x = 411,361.89/569.38
6. Step 6: Final answer
   x = 722.48