Finding the Third Proportional to 33.75 and 69.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33.75 : 69.25 = 69.25 : x
2. Step 2: Convert to fraction form
   33.75/69.25 = 69.25/x
3. Step 3: Cross multiply
   33.75x = 69.25 × 69.25
4. Step 4: Simplify right side
   33.75x = 4,795.56
5. Step 5: Solve for x
   x = 4,795.56/33.75
6. Step 6: Final answer
   x = 142.09