Finding the Third Proportional to 9,686 and 13,825

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686 : 13,825 = 13,825 : x
2. Step 2: Convert to fraction form
   9,686/13,825 = 13,825/x
3. Step 3: Cross multiply
   9,686x = 13,825 × 13,825
4. Step 4: Simplify right side
   9,686x = 191,130,625
5. Step 5: Solve for x
   x = 191,130,625/9,686
6. Step 6: Final answer
   x = 19,732.67