Finding the Third Proportional to 2,357 and 5,084

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357 : 5,084 = 5,084 : x
2. Step 2: Convert to fraction form
   2,357/5,084 = 5,084/x
3. Step 3: Cross multiply
   2,357x = 5,084 × 5,084
4. Step 4: Simplify right side
   2,357x = 25,847,056
5. Step 5: Solve for x
   x = 25,847,056/2,357
6. Step 6: Final answer
   x = 10,966.08