Finding the Third Proportional to 67,824 and 105,144

Step by Step Solution

1. Step 1: Write the proportion equation
   67,824 : 105,144 = 105,144 : x
2. Step 2: Convert to fraction form
   67,824/105,144 = 105,144/x
3. Step 3: Cross multiply
   67,824x = 105,144 × 105,144
4. Step 4: Simplify right side
   67,824x = 11,055,260,736
5. Step 5: Solve for x
   x = 11,055,260,736/67,824
6. Step 6: Final answer
   x = 162,999.24