Finding the Third Proportional to 1,466 and 3,216

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466 : 3,216 = 3,216 : x
2. Step 2: Convert to fraction form
   1,466/3,216 = 3,216/x
3. Step 3: Cross multiply
   1,466x = 3,216 × 3,216
4. Step 4: Simplify right side
   1,466x = 10,342,656
5. Step 5: Solve for x
   x = 10,342,656/1,466
6. Step 6: Final answer
   x = 7,055.02