Finding the Third Proportional to 2,072 and 4,216

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072 : 4,216 = 4,216 : x
2. Step 2: Convert to fraction form
   2,072/4,216 = 4,216/x
3. Step 3: Cross multiply
   2,072x = 4,216 × 4,216
4. Step 4: Simplify right side
   2,072x = 17,774,656
5. Step 5: Solve for x
   x = 17,774,656/2,072
6. Step 6: Final answer
   x = 8,578.50