Finding the Third Proportional to 9,006 and 12,345

Step by Step Solution

1. Step 1: Write the proportion equation
   9,006 : 12,345 = 12,345 : x
2. Step 2: Convert to fraction form
   9,006/12,345 = 12,345/x
3. Step 3: Cross multiply
   9,006x = 12,345 × 12,345
4. Step 4: Simplify right side
   9,006x = 152,399,025
5. Step 5: Solve for x
   x = 152,399,025/9,006
6. Step 6: Final answer
   x = 16,921.94