Finding the Third Proportional to 2,474 and 5,789

Step by Step Solution

1. Step 1: Write the proportion equation
   2,474 : 5,789 = 5,789 : x
2. Step 2: Convert to fraction form
   2,474/5,789 = 5,789/x
3. Step 3: Cross multiply
   2,474x = 5,789 × 5,789
4. Step 4: Simplify right side
   2,474x = 33,512,521
5. Step 5: Solve for x
   x = 33,512,521/2,474
6. Step 6: Final answer
   x = 13,545.89