Finding the Third Proportional to 2,357 and 5,086

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357 : 5,086 = 5,086 : x
2. Step 2: Convert to fraction form
   2,357/5,086 = 5,086/x
3. Step 3: Cross multiply
   2,357x = 5,086 × 5,086
4. Step 4: Simplify right side
   2,357x = 25,867,396
5. Step 5: Solve for x
   x = 25,867,396/2,357
6. Step 6: Final answer
   x = 10,974.71