Finding the Third Proportional to 2,012 and 4,182

Step by Step Solution

1. Step 1: Write the proportion equation
   2,012 : 4,182 = 4,182 : x
2. Step 2: Convert to fraction form
   2,012/4,182 = 4,182/x
3. Step 3: Cross multiply
   2,012x = 4,182 × 4,182
4. Step 4: Simplify right side
   2,012x = 17,489,124
5. Step 5: Solve for x
   x = 17,489,124/2,012
6. Step 6: Final answer
   x = 8,692.41