Finding the Third Proportional to 9,005 and 12,031

Step by Step Solution

1. Step 1: Write the proportion equation
   9,005 : 12,031 = 12,031 : x
2. Step 2: Convert to fraction form
   9,005/12,031 = 12,031/x
3. Step 3: Cross multiply
   9,005x = 12,031 × 12,031
4. Step 4: Simplify right side
   9,005x = 144,744,961
5. Step 5: Solve for x
   x = 144,744,961/9,005
6. Step 6: Final answer
   x = 16,073.84