Finding the Third Proportional to 6,866 and 10,279

Step by Step Solution

1. Step 1: Write the proportion equation
   6,866 : 10,279 = 10,279 : x
2. Step 2: Convert to fraction form
   6,866/10,279 = 10,279/x
3. Step 3: Cross multiply
   6,866x = 10,279 × 10,279
4. Step 4: Simplify right side
   6,866x = 105,657,841
5. Step 5: Solve for x
   x = 105,657,841/6,866
6. Step 6: Final answer
   x = 15,388.56