Finding the Third Proportional to 2,384 and 5,537

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384 : 5,537 = 5,537 : x
2. Step 2: Convert to fraction form
   2,384/5,537 = 5,537/x
3. Step 3: Cross multiply
   2,384x = 5,537 × 5,537
4. Step 4: Simplify right side
   2,384x = 30,658,369
5. Step 5: Solve for x
   x = 30,658,369/2,384
6. Step 6: Final answer
   x = 12,860.05