Finding the Third Proportional to 67.78 and 103.69

Step by Step Solution

1. Step 1: Write the proportion equation
   67.78 : 103.69 = 103.69 : x
2. Step 2: Convert to fraction form
   67.78/103.69 = 103.69/x
3. Step 3: Cross multiply
   67.78x = 103.69 × 103.69
4. Step 4: Simplify right side
   67.78x = 10,751.10
5. Step 5: Solve for x
   x = 10,751.10/67.78
6. Step 6: Final answer
   x = 158.61