Finding the Third Proportional to 105.75 and 137.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 137.25 = 137.25 : x
2. Step 2: Convert to fraction form
   105.75/137.25 = 137.25/x
3. Step 3: Cross multiply
   105.75x = 137.25 × 137.25
4. Step 4: Simplify right side
   105.75x = 18,837.56
5. Step 5: Solve for x
   x = 18,837.56/105.75
6. Step 6: Final answer
   x = 178.13