Finding the Third Proportional to 68.06 and 105.47

Step by Step Solution

1. Step 1: Write the proportion equation
   68.06 : 105.47 = 105.47 : x
2. Step 2: Convert to fraction form
   68.06/105.47 = 105.47/x
3. Step 3: Cross multiply
   68.06x = 105.47 × 105.47
4. Step 4: Simplify right side
   68.06x = 11,123.66
5. Step 5: Solve for x
   x = 11,123.66/68.06
6. Step 6: Final answer
   x = 163.43