Finding the Third Proportional to 33.86 and 71.82

Step by Step Solution

1. Step 1: Write the proportion equation
   33.86 : 71.82 = 71.82 : x
2. Step 2: Convert to fraction form
   33.86/71.82 = 71.82/x
3. Step 3: Cross multiply
   33.86x = 71.82 × 71.82
4. Step 4: Simplify right side
   33.86x = 5,158.72
5. Step 5: Solve for x
   x = 5,158.72/33.86
6. Step 6: Final answer
   x = 152.37