Finding the Third Proportional to 30.38 and 40.82

Step by Step Solution

1. Step 1: Write the proportion equation
   30.38 : 40.82 = 40.82 : x
2. Step 2: Convert to fraction form
   30.38/40.82 = 40.82/x
3. Step 3: Cross multiply
   30.38x = 40.82 × 40.82
4. Step 4: Simplify right side
   30.38x = 1,665.98
5. Step 5: Solve for x
   x = 1,665.98/30.38
6. Step 6: Final answer
   x = 54.85