Finding the Third Proportional to 31.38 and 72.38

Step by Step Solution

1. Step 1: Write the proportion equation
   31.38 : 72.38 = 72.38 : x
2. Step 2: Convert to fraction form
   31.38/72.38 = 72.38/x
3. Step 3: Cross multiply
   31.38x = 72.38 × 72.38
4. Step 4: Simplify right side
   31.38x = 5,238.14
5. Step 5: Solve for x
   x = 5,238.14/31.38
6. Step 6: Final answer
   x = 166.95