Finding the Third Proportional to 20,448 and 31,764

Step by Step Solution

1. Step 1: Write the proportion equation
   20,448 : 31,764 = 31,764 : x
2. Step 2: Convert to fraction form
   20,448/31,764 = 31,764/x
3. Step 3: Cross multiply
   20,448x = 31,764 × 31,764
4. Step 4: Simplify right side
   20,448x = 1,008,951,696
5. Step 5: Solve for x
   x = 1,008,951,696/20,448
6. Step 6: Final answer
   x = 49,342.32