Finding the Third Proportional to 33.96 and 69.89

Step by Step Solution

1. Step 1: Write the proportion equation
   33.96 : 69.89 = 69.89 : x
2. Step 2: Convert to fraction form
   33.96/69.89 = 69.89/x
3. Step 3: Cross multiply
   33.96x = 69.89 × 69.89
4. Step 4: Simplify right side
   33.96x = 4,884.70
5. Step 5: Solve for x
   x = 4,884.70/33.96
6. Step 6: Final answer
   x = 143.83