Finding the Third Proportional to 6,840 and 12,072

Step by Step Solution

1. Step 1: Write the proportion equation
   6,840 : 12,072 = 12,072 : x
2. Step 2: Convert to fraction form
   6,840/12,072 = 12,072/x
3. Step 3: Cross multiply
   6,840x = 12,072 × 12,072
4. Step 4: Simplify right side
   6,840x = 145,733,184
5. Step 5: Solve for x
   x = 145,733,184/6,840
6. Step 6: Final answer
   x = 21,306.02