Finding the Third Proportional to 7,684 and 12,886

Step by Step Solution

1. Step 1: Write the proportion equation
   7,684 : 12,886 = 12,886 : x
2. Step 2: Convert to fraction form
   7,684/12,886 = 12,886/x
3. Step 3: Cross multiply
   7,684x = 12,886 × 12,886
4. Step 4: Simplify right side
   7,684x = 166,048,996
5. Step 5: Solve for x
   x = 166,048,996/7,684
6. Step 6: Final answer
   x = 21,609.71