Finding the Third Proportional to 67,881 and 105,696

Step by Step Solution

1. Step 1: Write the proportion equation
   67,881 : 105,696 = 105,696 : x
2. Step 2: Convert to fraction form
   67,881/105,696 = 105,696/x
3. Step 3: Cross multiply
   67,881x = 105,696 × 105,696
4. Step 4: Simplify right side
   67,881x = 11,171,644,416
5. Step 5: Solve for x
   x = 11,171,644,416/67,881
6. Step 6: Final answer
   x = 164,576.90