Finding the Third Proportional to 6,884 and 10,706

Step by Step Solution

1. Step 1: Write the proportion equation
   6,884 : 10,706 = 10,706 : x
2. Step 2: Convert to fraction form
   6,884/10,706 = 10,706/x
3. Step 3: Cross multiply
   6,884x = 10,706 × 10,706
4. Step 4: Simplify right side
   6,884x = 114,618,436
5. Step 5: Solve for x
   x = 114,618,436/6,884
6. Step 6: Final answer
   x = 16,649.98