Finding the Third Proportional to 8,035 and 12,007

Step by Step Solution

1. Step 1: Write the proportion equation
   8,035 : 12,007 = 12,007 : x
2. Step 2: Convert to fraction form
   8,035/12,007 = 12,007/x
3. Step 3: Cross multiply
   8,035x = 12,007 × 12,007
4. Step 4: Simplify right side
   8,035x = 144,168,049
5. Step 5: Solve for x
   x = 144,168,049/8,035
6. Step 6: Final answer
   x = 17,942.51