Finding the Third Proportional to 68,016 and 105,672

Step by Step Solution

1. Step 1: Write the proportion equation
   68,016 : 105,672 = 105,672 : x
2. Step 2: Convert to fraction form
   68,016/105,672 = 105,672/x
3. Step 3: Cross multiply
   68,016x = 105,672 × 105,672
4. Step 4: Simplify right side
   68,016x = 11,166,571,584
5. Step 5: Solve for x
   x = 11,166,571,584/68,016
6. Step 6: Final answer
   x = 164,175.66