Finding the Third Proportional to 33.75 and 40.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33.75 : 40.69 = 40.69 : x
2. Step 2: Convert to fraction form
   33.75/40.69 = 40.69/x
3. Step 3: Cross multiply
   33.75x = 40.69 × 40.69
4. Step 4: Simplify right side
   33.75x = 1,655.47
5. Step 5: Solve for x
   x = 1,655.47/33.75
6. Step 6: Final answer
   x = 49.05