Finding the Third Proportional to 7,840 and 12,006

Step by Step Solution

1. Step 1: Write the proportion equation
   7,840 : 12,006 = 12,006 : x
2. Step 2: Convert to fraction form
   7,840/12,006 = 12,006/x
3. Step 3: Cross multiply
   7,840x = 12,006 × 12,006
4. Step 4: Simplify right side
   7,840x = 144,144,036
5. Step 5: Solve for x
   x = 144,144,036/7,840
6. Step 6: Final answer
   x = 18,385.72