Finding the Third Proportional to 2,182 and 2,386

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182 : 2,386 = 2,386 : x
2. Step 2: Convert to fraction form
   2,182/2,386 = 2,386/x
3. Step 3: Cross multiply
   2,182x = 2,386 × 2,386
4. Step 4: Simplify right side
   2,182x = 5,692,996
5. Step 5: Solve for x
   x = 5,692,996/2,182
6. Step 6: Final answer
   x = 2,609.07