Finding the Third Proportional to 20,736 and 27,936

Step by Step Solution

1. Step 1: Write the proportion equation
   20,736 : 27,936 = 27,936 : x
2. Step 2: Convert to fraction form
   20,736/27,936 = 27,936/x
3. Step 3: Cross multiply
   20,736x = 27,936 × 27,936
4. Step 4: Simplify right side
   20,736x = 780,420,096
5. Step 5: Solve for x
   x = 780,420,096/20,736
6. Step 6: Final answer
   x = 37,636