Finding the Third Proportional to 9,682 and 13,818

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682 : 13,818 = 13,818 : x
2. Step 2: Convert to fraction form
   9,682/13,818 = 13,818/x
3. Step 3: Cross multiply
   9,682x = 13,818 × 13,818
4. Step 4: Simplify right side
   9,682x = 190,937,124
5. Step 5: Solve for x
   x = 190,937,124/9,682
6. Step 6: Final answer
   x = 19,720.83