Finding the Third Proportional to 7,856 and 10,679

Step by Step Solution

1. Step 1: Write the proportion equation
   7,856 : 10,679 = 10,679 : x
2. Step 2: Convert to fraction form
   7,856/10,679 = 10,679/x
3. Step 3: Cross multiply
   7,856x = 10,679 × 10,679
4. Step 4: Simplify right side
   7,856x = 114,041,041
5. Step 5: Solve for x
   x = 114,041,041/7,856
6. Step 6: Final answer
   x = 14,516.43