Finding the Third Proportional to 67,648 and 106,116

Step by Step Solution

1. Step 1: Write the proportion equation
   67,648 : 106,116 = 106,116 : x
2. Step 2: Convert to fraction form
   67,648/106,116 = 106,116/x
3. Step 3: Cross multiply
   67,648x = 106,116 × 106,116
4. Step 4: Simplify right side
   67,648x = 11,260,605,456
5. Step 5: Solve for x
   x = 11,260,605,456/67,648
6. Step 6: Final answer
   x = 166,458.81