Finding the Third Proportional to 36.94 and 75.69

Step by Step Solution

1. Step 1: Write the proportion equation
   36.94 : 75.69 = 75.69 : x
2. Step 2: Convert to fraction form
   36.94/75.69 = 75.69/x
3. Step 3: Cross multiply
   36.94x = 75.69 × 75.69
4. Step 4: Simplify right side
   36.94x = 5,728.60
5. Step 5: Solve for x
   x = 5,728.60/36.94
6. Step 6: Final answer
   x = 155.09