Finding the Third Proportional to 12,002 and 18,642

Step by Step Solution

1. Step 1: Write the proportion equation
   12,002 : 18,642 = 18,642 : x
2. Step 2: Convert to fraction form
   12,002/18,642 = 18,642/x
3. Step 3: Cross multiply
   12,002x = 18,642 × 18,642
4. Step 4: Simplify right side
   12,002x = 347,524,164
5. Step 5: Solve for x
   x = 347,524,164/12,002
6. Step 6: Final answer
   x = 28,955.52