Finding the Third Proportional to 105.72 and 159.94

Step by Step Solution

1. Step 1: Write the proportion equation
   105.72 : 159.94 = 159.94 : x
2. Step 2: Convert to fraction form
   105.72/159.94 = 159.94/x
3. Step 3: Cross multiply
   105.72x = 159.94 × 159.94
4. Step 4: Simplify right side
   105.72x = 25,581.88
5. Step 5: Solve for x
   x = 25,581.88/105.72
6. Step 6: Final answer
   x = 241.98