Finding the Third Proportional to 10.69 and 57.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10.69 : 57.38 = 57.38 : x
2. Step 2: Convert to fraction form
   10.69/57.38 = 57.38/x
3. Step 3: Cross multiply
   10.69x = 57.38 × 57.38
4. Step 4: Simplify right side
   10.69x = 3,291.89
5. Step 5: Solve for x
   x = 3,291.89/10.69
6. Step 6: Final answer
   x = 308.01