Finding the Third Proportional to 33.50 and 71.31

Step by Step Solution

1. Step 1: Write the proportion equation
   33.50 : 71.31 = 71.31 : x
2. Step 2: Convert to fraction form
   33.50/71.31 = 71.31/x
3. Step 3: Cross multiply
   33.50x = 71.31 × 71.31
4. Step 4: Simplify right side
   33.50x = 5,085.47
5. Step 5: Solve for x
   x = 5,085.47/33.50
6. Step 6: Final answer
   x = 151.81