Finding the Third Proportional to 20,166 and 30,825

Step by Step Solution

1. Step 1: Write the proportion equation
   20,166 : 30,825 = 30,825 : x
2. Step 2: Convert to fraction form
   20,166/30,825 = 30,825/x
3. Step 3: Cross multiply
   20,166x = 30,825 × 30,825
4. Step 4: Simplify right side
   20,166x = 950,180,625
5. Step 5: Solve for x
   x = 950,180,625/20,166
6. Step 6: Final answer
   x = 47,117.95