Finding the Third Proportional to 29.44 and 33.38

Step by Step Solution

1. Step 1: Write the proportion equation
   29.44 : 33.38 = 33.38 : x
2. Step 2: Convert to fraction form
   29.44/33.38 = 33.38/x
3. Step 3: Cross multiply
   29.44x = 33.38 × 33.38
4. Step 4: Simplify right side
   29.44x = 1,113.89
5. Step 5: Solve for x
   x = 1,113.89/29.44
6. Step 6: Final answer
   x = 37.84