Finding the Third Proportional to 35.12 and 40.82

Step by Step Solution

1. Step 1: Write the proportion equation
   35.12 : 40.82 = 40.82 : x
2. Step 2: Convert to fraction form
   35.12/40.82 = 40.82/x
3. Step 3: Cross multiply
   35.12x = 40.82 × 40.82
4. Step 4: Simplify right side
   35.12x = 1,665.98
5. Step 5: Solve for x
   x = 1,665.98/35.12
6. Step 6: Final answer
   x = 47.44