Finding the Third Proportional to 20,257 and 31,707

Step by Step Solution

1. Step 1: Write the proportion equation
   20,257 : 31,707 = 31,707 : x
2. Step 2: Convert to fraction form
   20,257/31,707 = 31,707/x
3. Step 3: Cross multiply
   20,257x = 31,707 × 31,707
4. Step 4: Simplify right side
   20,257x = 1,005,333,849
5. Step 5: Solve for x
   x = 1,005,333,849/20,257
6. Step 6: Final answer
   x = 49,628.96