Finding the Third Proportional to 31.31 and 67.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.31 : 67.69 = 67.69 : x
2. Step 2: Convert to fraction form
   31.31/67.69 = 67.69/x
3. Step 3: Cross multiply
   31.31x = 67.69 × 67.69
4. Step 4: Simplify right side
   31.31x = 4,581.60
5. Step 5: Solve for x
   x = 4,581.60/31.31
6. Step 6: Final answer
   x = 146.32