Finding the Third Proportional to 33.84 and 71.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33.84 : 71.06 = 71.06 : x
2. Step 2: Convert to fraction form
   33.84/71.06 = 71.06/x
3. Step 3: Cross multiply
   33.84x = 71.06 × 71.06
4. Step 4: Simplify right side
   33.84x = 5,049.88
5. Step 5: Solve for x
   x = 5,049.88/33.84
6. Step 6: Final answer
   x = 149.21