Finding the Third Proportional to 33.38 and 75.56

Step by Step Solution

1. Step 1: Write the proportion equation
   33.38 : 75.56 = 75.56 : x
2. Step 2: Convert to fraction form
   33.38/75.56 = 75.56/x
3. Step 3: Cross multiply
   33.38x = 75.56 × 75.56
4. Step 4: Simplify right side
   33.38x = 5,709.69
5. Step 5: Solve for x
   x = 5,709.69/33.38
6. Step 6: Final answer
   x = 171.08