Finding the Third Proportional to 105.50 and 159.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.50 : 159.69 = 159.69 : x
2. Step 2: Convert to fraction form
   105.50/159.69 = 159.69/x
3. Step 3: Cross multiply
   105.50x = 159.69 × 159.69
4. Step 4: Simplify right side
   105.50x = 25,500.10
5. Step 5: Solve for x
   x = 25,500.10/105.50
6. Step 6: Final answer
   x = 241.71