Finding the Third Proportional to 31.75 and 72.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.75 : 72.69 = 72.69 : x
2. Step 2: Convert to fraction form
   31.75/72.69 = 72.69/x
3. Step 3: Cross multiply
   31.75x = 72.69 × 72.69
4. Step 4: Simplify right side
   31.75x = 5,283.47
5. Step 5: Solve for x
   x = 5,283.47/31.75
6. Step 6: Final answer
   x = 166.41