Finding the Third Proportional to 20,176 and 31,920

Step by Step Solution

1. Step 1: Write the proportion equation
   20,176 : 31,920 = 31,920 : x
2. Step 2: Convert to fraction form
   20,176/31,920 = 31,920/x
3. Step 3: Cross multiply
   20,176x = 31,920 × 31,920
4. Step 4: Simplify right side
   20,176x = 1,018,886,400
5. Step 5: Solve for x
   x = 1,018,886,400/20,176
6. Step 6: Final answer
   x = 50,499.92