Finding the Third Proportional to 33.25 and 34.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33.25 : 34.25 = 34.25 : x
2. Step 2: Convert to fraction form
   33.25/34.25 = 34.25/x
3. Step 3: Cross multiply
   33.25x = 34.25 × 34.25
4. Step 4: Simplify right side
   33.25x = 1,173.06
5. Step 5: Solve for x
   x = 1,173.06/33.25
6. Step 6: Final answer
   x = 35.28