Finding the Third Proportional to 33,824 and 50,736

Step by Step Solution

1. Step 1: Write the proportion equation
   33,824 : 50,736 = 50,736 : x
2. Step 2: Convert to fraction form
   33,824/50,736 = 50,736/x
3. Step 3: Cross multiply
   33,824x = 50,736 × 50,736
4. Step 4: Simplify right side
   33,824x = 2,574,141,696
5. Step 5: Solve for x
   x = 2,574,141,696/33,824
6. Step 6: Final answer
   x = 76,104