Finding the Third Proportional to 2,386 and 5,182

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386 : 5,182 = 5,182 : x
2. Step 2: Convert to fraction form
   2,386/5,182 = 5,182/x
3. Step 3: Cross multiply
   2,386x = 5,182 × 5,182
4. Step 4: Simplify right side
   2,386x = 26,853,124
5. Step 5: Solve for x
   x = 26,853,124/2,386
6. Step 6: Final answer
   x = 11,254.45