Finding the Third Proportional to 20,416 and 31,546

Step by Step Solution

1. Step 1: Write the proportion equation
   20,416 : 31,546 = 31,546 : x
2. Step 2: Convert to fraction form
   20,416/31,546 = 31,546/x
3. Step 3: Cross multiply
   20,416x = 31,546 × 31,546
4. Step 4: Simplify right side
   20,416x = 995,150,116
5. Step 5: Solve for x
   x = 995,150,116/20,416
6. Step 6: Final answer
   x = 48,743.64