Finding the Third Proportional to 105.38 and 159.53

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 159.53 = 159.53 : x
2. Step 2: Convert to fraction form
   105.38/159.53 = 159.53/x
3. Step 3: Cross multiply
   105.38x = 159.53 × 159.53
4. Step 4: Simplify right side
   105.38x = 25,451.31
5. Step 5: Solve for x
   x = 25,451.31/105.38
6. Step 6: Final answer
   x = 241.53