Finding the Third Proportional to 68,096 and 105,686

Step by Step Solution

1. Step 1: Write the proportion equation
   68,096 : 105,686 = 105,686 : x
2. Step 2: Convert to fraction form
   68,096/105,686 = 105,686/x
3. Step 3: Cross multiply
   68,096x = 105,686 × 105,686
4. Step 4: Simplify right side
   68,096x = 11,169,530,596
5. Step 5: Solve for x
   x = 11,169,530,596/68,096
6. Step 6: Final answer
   x = 164,026.24