Finding the Third Proportional to 6,906 and 10,571

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906 : 10,571 = 10,571 : x
2. Step 2: Convert to fraction form
   6,906/10,571 = 10,571/x
3. Step 3: Cross multiply
   6,906x = 10,571 × 10,571
4. Step 4: Simplify right side
   6,906x = 111,746,041
5. Step 5: Solve for x
   x = 111,746,041/6,906
6. Step 6: Final answer
   x = 16,181.01