Finding the Third Proportional to 30.50 and 57.38

Step by Step Solution

1. Step 1: Write the proportion equation
   30.50 : 57.38 = 57.38 : x
2. Step 2: Convert to fraction form
   30.50/57.38 = 57.38/x
3. Step 3: Cross multiply
   30.50x = 57.38 × 57.38
4. Step 4: Simplify right side
   30.50x = 3,291.89
5. Step 5: Solve for x
   x = 3,291.89/30.50
6. Step 6: Final answer
   x = 107.93