Finding the Third Proportional to 9,006 and 12,889

Step by Step Solution

1. Step 1: Write the proportion equation
   9,006 : 12,889 = 12,889 : x
2. Step 2: Convert to fraction form
   9,006/12,889 = 12,889/x
3. Step 3: Cross multiply
   9,006x = 12,889 × 12,889
4. Step 4: Simplify right side
   9,006x = 166,126,321
5. Step 5: Solve for x
   x = 166,126,321/9,006
6. Step 6: Final answer
   x = 18,446.18