Finding the Third Proportional to 2,218 and 3,182

Step by Step Solution

1. Step 1: Write the proportion equation
   2,218 : 3,182 = 3,182 : x
2. Step 2: Convert to fraction form
   2,218/3,182 = 3,182/x
3. Step 3: Cross multiply
   2,218x = 3,182 × 3,182
4. Step 4: Simplify right side
   2,218x = 10,125,124
5. Step 5: Solve for x
   x = 10,125,124/2,218
6. Step 6: Final answer
   x = 4,564.98