Finding the Third Proportional to 2,138 and 5,797

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138 : 5,797 = 5,797 : x
2. Step 2: Convert to fraction form
   2,138/5,797 = 5,797/x
3. Step 3: Cross multiply
   2,138x = 5,797 × 5,797
4. Step 4: Simplify right side
   2,138x = 33,605,209
5. Step 5: Solve for x
   x = 33,605,209/2,138
6. Step 6: Final answer
   x = 15,718.06