Finding the Third Proportional to 70.59 and 105.96

Step by Step Solution

1. Step 1: Write the proportion equation
   70.59 : 105.96 = 105.96 : x
2. Step 2: Convert to fraction form
   70.59/105.96 = 105.96/x
3. Step 3: Cross multiply
   70.59x = 105.96 × 105.96
4. Step 4: Simplify right side
   70.59x = 11,227.72
5. Step 5: Solve for x
   x = 11,227.72/70.59
6. Step 6: Final answer
   x = 159.05