Finding the Third Proportional to 2,006 and 3,172

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006 : 3,172 = 3,172 : x
2. Step 2: Convert to fraction form
   2,006/3,172 = 3,172/x
3. Step 3: Cross multiply
   2,006x = 3,172 × 3,172
4. Step 4: Simplify right side
   2,006x = 10,061,584
5. Step 5: Solve for x
   x = 10,061,584/2,006
6. Step 6: Final answer
   x = 5,015.74