Finding the Third Proportional to 33.25 and 68.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33.25 : 68.50 = 68.50 : x
2. Step 2: Convert to fraction form
   33.25/68.50 = 68.50/x
3. Step 3: Cross multiply
   33.25x = 68.50 × 68.50
4. Step 4: Simplify right side
   33.25x = 4,692.25
5. Step 5: Solve for x
   x = 4,692.25/33.25
6. Step 6: Final answer
   x = 141.12