Finding the Third Proportional to 8,214 and 10,818

Step by Step Solution

1. Step 1: Write the proportion equation
   8,214 : 10,818 = 10,818 : x
2. Step 2: Convert to fraction form
   8,214/10,818 = 10,818/x
3. Step 3: Cross multiply
   8,214x = 10,818 × 10,818
4. Step 4: Simplify right side
   8,214x = 117,029,124
5. Step 5: Solve for x
   x = 117,029,124/8,214
6. Step 6: Final answer
   x = 14,247.52