Finding the Third Proportional to 72.14 and 105.68

Step by Step Solution

1. Step 1: Write the proportion equation
   72.14 : 105.68 = 105.68 : x
2. Step 2: Convert to fraction form
   72.14/105.68 = 105.68/x
3. Step 3: Cross multiply
   72.14x = 105.68 × 105.68
4. Step 4: Simplify right side
   72.14x = 11,168.20
5. Step 5: Solve for x
   x = 11,168.20/72.14
6. Step 6: Final answer
   x = 154.81