Finding the Third Proportional to 6,841 and 10,716

Step by Step Solution

1. Step 1: Write the proportion equation
   6,841 : 10,716 = 10,716 : x
2. Step 2: Convert to fraction form
   6,841/10,716 = 10,716/x
3. Step 3: Cross multiply
   6,841x = 10,716 × 10,716
4. Step 4: Simplify right side
   6,841x = 114,832,656
5. Step 5: Solve for x
   x = 114,832,656/6,841
6. Step 6: Final answer
   x = 16,785.95