Finding the Third Proportional to 31.44 and 67.94

Step by Step Solution

1. Step 1: Write the proportion equation
   31.44 : 67.94 = 67.94 : x
2. Step 2: Convert to fraction form
   31.44/67.94 = 67.94/x
3. Step 3: Cross multiply
   31.44x = 67.94 × 67.94
4. Step 4: Simplify right side
   31.44x = 4,615.50
5. Step 5: Solve for x
   x = 4,615.50/31.44
6. Step 6: Final answer
   x = 146.82