Finding the Third Proportional to 6,824 and 12,674

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824 : 12,674 = 12,674 : x
2. Step 2: Convert to fraction form
   6,824/12,674 = 12,674/x
3. Step 3: Cross multiply
   6,824x = 12,674 × 12,674
4. Step 4: Simplify right side
   6,824x = 160,630,276
5. Step 5: Solve for x
   x = 160,630,276/6,824
6. Step 6: Final answer
   x = 23,539.02