Finding the Third Proportional to 31.75 and 72.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31.75 : 72.25 = 72.25 : x
2. Step 2: Convert to fraction form
   31.75/72.25 = 72.25/x
3. Step 3: Cross multiply
   31.75x = 72.25 × 72.25
4. Step 4: Simplify right side
   31.75x = 5,220.06
5. Step 5: Solve for x
   x = 5,220.06/31.75
6. Step 6: Final answer
   x = 164.41