Finding the Third Proportional to 375.38 and 570.38

Step by Step Solution

1. Step 1: Write the proportion equation
   375.38 : 570.38 = 570.38 : x
2. Step 2: Convert to fraction form
   375.38/570.38 = 570.38/x
3. Step 3: Cross multiply
   375.38x = 570.38 × 570.38
4. Step 4: Simplify right side
   375.38x = 325,327.64
5. Step 5: Solve for x
   x = 325,327.64/375.38
6. Step 6: Final answer
   x = 866.67