Finding the Third Proportional to 27.75 and 73.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27.75 : 73.69 = 73.69 : x
2. Step 2: Convert to fraction form
   27.75/73.69 = 73.69/x
3. Step 3: Cross multiply
   27.75x = 73.69 × 73.69
4. Step 4: Simplify right side
   27.75x = 5,429.85
5. Step 5: Solve for x
   x = 5,429.85/27.75
6. Step 6: Final answer
   x = 195.67