Finding the Third Proportional to 42.94 and 67.41

Step by Step Solution

1. Step 1: Write the proportion equation
   42.94 : 67.41 = 67.41 : x
2. Step 2: Convert to fraction form
   42.94/67.41 = 67.41/x
3. Step 3: Cross multiply
   42.94x = 67.41 × 67.41
4. Step 4: Simplify right side
   42.94x = 4,543.60
5. Step 5: Solve for x
   x = 4,543.60/42.94
6. Step 6: Final answer
   x = 105.82