Finding the Third Proportional to 107.75 and 167.38

Step by Step Solution

1. Step 1: Write the proportion equation
   107.75 : 167.38 = 167.38 : x
2. Step 2: Convert to fraction form
   107.75/167.38 = 167.38/x
3. Step 3: Cross multiply
   107.75x = 167.38 × 167.38
4. Step 4: Simplify right side
   107.75x = 28,014.39
5. Step 5: Solve for x
   x = 28,014.39/107.75
6. Step 6: Final answer
   x = 259.99