Finding the Third Proportional to 9,006 and 12,678

Step by Step Solution

1. Step 1: Write the proportion equation
   9,006 : 12,678 = 12,678 : x
2. Step 2: Convert to fraction form
   9,006/12,678 = 12,678/x
3. Step 3: Cross multiply
   9,006x = 12,678 × 12,678
4. Step 4: Simplify right side
   9,006x = 160,731,684
5. Step 5: Solve for x
   x = 160,731,684/9,006
6. Step 6: Final answer
   x = 17,847.18