Finding the Third Proportional to 25.78 and 67.69

Step by Step Solution

1. Step 1: Write the proportion equation
   25.78 : 67.69 = 67.69 : x
2. Step 2: Convert to fraction form
   25.78/67.69 = 67.69/x
3. Step 3: Cross multiply
   25.78x = 67.69 × 67.69
4. Step 4: Simplify right side
   25.78x = 4,581.60
5. Step 5: Solve for x
   x = 4,581.60/25.78
6. Step 6: Final answer
   x = 177.71