Finding the Third Proportional to 20,768 and 31,922

Step by Step Solution

1. Step 1: Write the proportion equation
   20,768 : 31,922 = 31,922 : x
2. Step 2: Convert to fraction form
   20,768/31,922 = 31,922/x
3. Step 3: Cross multiply
   20,768x = 31,922 × 31,922
4. Step 4: Simplify right side
   20,768x = 1,019,014,084
5. Step 5: Solve for x
   x = 1,019,014,084/20,768
6. Step 6: Final answer
   x = 49,066.55