Finding the Third Proportional to 2,146 and 3,320

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146 : 3,320 = 3,320 : x
2. Step 2: Convert to fraction form
   2,146/3,320 = 3,320/x
3. Step 3: Cross multiply
   2,146x = 3,320 × 3,320
4. Step 4: Simplify right side
   2,146x = 11,022,400
5. Step 5: Solve for x
   x = 11,022,400/2,146
6. Step 6: Final answer
   x = 5,136.25