Finding the Third Proportional to 6,684 and 10,196

Step by Step Solution

1. Step 1: Write the proportion equation
   6,684 : 10,196 = 10,196 : x
2. Step 2: Convert to fraction form
   6,684/10,196 = 10,196/x
3. Step 3: Cross multiply
   6,684x = 10,196 × 10,196
4. Step 4: Simplify right side
   6,684x = 103,958,416
5. Step 5: Solve for x
   x = 103,958,416/6,684
6. Step 6: Final answer
   x = 15,553.32