Finding the Third Proportional to 20,509 and 31,863

Step by Step Solution

1. Step 1: Write the proportion equation
   20,509 : 31,863 = 31,863 : x
2. Step 2: Convert to fraction form
   20,509/31,863 = 31,863/x
3. Step 3: Cross multiply
   20,509x = 31,863 × 31,863
4. Step 4: Simplify right side
   20,509x = 1,015,250,769
5. Step 5: Solve for x
   x = 1,015,250,769/20,509
6. Step 6: Final answer
   x = 49,502.69