Finding the Third Proportional to 20,512 and 31,928

Step by Step Solution

1. Step 1: Write the proportion equation
   20,512 : 31,928 = 31,928 : x
2. Step 2: Convert to fraction form
   20,512/31,928 = 31,928/x
3. Step 3: Cross multiply
   20,512x = 31,928 × 31,928
4. Step 4: Simplify right side
   20,512x = 1,019,397,184
5. Step 5: Solve for x
   x = 1,019,397,184/20,512
6. Step 6: Final answer
   x = 49,697.60