Finding the Third Proportional to 6,820 and 12,668

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820 : 12,668 = 12,668 : x
2. Step 2: Convert to fraction form
   6,820/12,668 = 12,668/x
3. Step 3: Cross multiply
   6,820x = 12,668 × 12,668
4. Step 4: Simplify right side
   6,820x = 160,478,224
5. Step 5: Solve for x
   x = 160,478,224/6,820
6. Step 6: Final answer
   x = 23,530.53