Finding the Third Proportional to 67,568 and 105,993

Step by Step Solution

1. Step 1: Write the proportion equation
   67,568 : 105,993 = 105,993 : x
2. Step 2: Convert to fraction form
   67,568/105,993 = 105,993/x
3. Step 3: Cross multiply
   67,568x = 105,993 × 105,993
4. Step 4: Simplify right side
   67,568x = 11,234,516,049
5. Step 5: Solve for x
   x = 11,234,516,049/67,568
6. Step 6: Final answer
   x = 166,269.77