Finding the Third Proportional to 67,906 and 105,743

Step by Step Solution

1. Step 1: Write the proportion equation
   67,906 : 105,743 = 105,743 : x
2. Step 2: Convert to fraction form
   67,906/105,743 = 105,743/x
3. Step 3: Cross multiply
   67,906x = 105,743 × 105,743
4. Step 4: Simplify right side
   67,906x = 11,181,582,049
5. Step 5: Solve for x
   x = 11,181,582,049/67,906
6. Step 6: Final answer
   x = 164,662.65