Finding the Third Proportional to 31.69 and 67.19

Step by Step Solution

1. Step 1: Write the proportion equation
   31.69 : 67.19 = 67.19 : x
2. Step 2: Convert to fraction form
   31.69/67.19 = 67.19/x
3. Step 3: Cross multiply
   31.69x = 67.19 × 67.19
4. Step 4: Simplify right side
   31.69x = 4,514.16
5. Step 5: Solve for x
   x = 4,514.16/31.69
6. Step 6: Final answer
   x = 142.46