Finding the Third Proportional to 12,684 and 20,825

Step by Step Solution

1. Step 1: Write the proportion equation
   12,684 : 20,825 = 20,825 : x
2. Step 2: Convert to fraction form
   12,684/20,825 = 20,825/x
3. Step 3: Cross multiply
   12,684x = 20,825 × 20,825
4. Step 4: Simplify right side
   12,684x = 433,680,625
5. Step 5: Solve for x
   x = 433,680,625/12,684
6. Step 6: Final answer
   x = 34,191.16