Finding the Third Proportional to 33 and 72.31

Step by Step Solution

1. Step 1: Write the proportion equation
   33 : 72.31 = 72.31 : x
2. Step 2: Convert to fraction form
   33/72.31 = 72.31/x
3. Step 3: Cross multiply
   33x = 72.31 × 72.31
4. Step 4: Simplify right side
   33x = 5,229.10
5. Step 5: Solve for x
   x = 5,229.10/33
6. Step 6: Final answer
   x = 158.46