Finding the Third Proportional to 67,826 and 105,147

Step by Step Solution

1. Step 1: Write the proportion equation
   67,826 : 105,147 = 105,147 : x
2. Step 2: Convert to fraction form
   67,826/105,147 = 105,147/x
3. Step 3: Cross multiply
   67,826x = 105,147 × 105,147
4. Step 4: Simplify right side
   67,826x = 11,055,891,609
5. Step 5: Solve for x
   x = 11,055,891,609/67,826
6. Step 6: Final answer
   x = 163,003.74