Finding the Third Proportional to 20,166 and 31,849

Step by Step Solution

1. Step 1: Write the proportion equation
   20,166 : 31,849 = 31,849 : x
2. Step 2: Convert to fraction form
   20,166/31,849 = 31,849/x
3. Step 3: Cross multiply
   20,166x = 31,849 × 31,849
4. Step 4: Simplify right side
   20,166x = 1,014,358,801
5. Step 5: Solve for x
   x = 1,014,358,801/20,166
6. Step 6: Final answer
   x = 50,300.45