Finding the Third Proportional to 32.38 and 41.94

Step by Step Solution

1. Step 1: Write the proportion equation
   32.38 : 41.94 = 41.94 : x
2. Step 2: Convert to fraction form
   32.38/41.94 = 41.94/x
3. Step 3: Cross multiply
   32.38x = 41.94 × 41.94
4. Step 4: Simplify right side
   32.38x = 1,758.75
5. Step 5: Solve for x
   x = 1,758.75/32.38
6. Step 6: Final answer
   x = 54.32