Finding the Third Proportional to 6,823 and 12,242

Step by Step Solution

1. Step 1: Write the proportion equation
   6,823 : 12,242 = 12,242 : x
2. Step 2: Convert to fraction form
   6,823/12,242 = 12,242/x
3. Step 3: Cross multiply
   6,823x = 12,242 × 12,242
4. Step 4: Simplify right side
   6,823x = 149,866,564
5. Step 5: Solve for x
   x = 149,866,564/6,823
6. Step 6: Final answer
   x = 21,964.91