Finding the Third Proportional to 20,736 and 31,968

Step by Step Solution

1. Step 1: Write the proportion equation
   20,736 : 31,968 = 31,968 : x
2. Step 2: Convert to fraction form
   20,736/31,968 = 31,968/x
3. Step 3: Cross multiply
   20,736x = 31,968 × 31,968
4. Step 4: Simplify right side
   20,736x = 1,021,953,024
5. Step 5: Solve for x
   x = 1,021,953,024/20,736
6. Step 6: Final answer
   x = 49,284