Finding the Third Proportional to 6,814 and 10,870

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814 : 10,870 = 10,870 : x
2. Step 2: Convert to fraction form
   6,814/10,870 = 10,870/x
3. Step 3: Cross multiply
   6,814x = 10,870 × 10,870
4. Step 4: Simplify right side
   6,814x = 118,156,900
5. Step 5: Solve for x
   x = 118,156,900/6,814
6. Step 6: Final answer
   x = 17,340.31