Finding the Third Proportional to 2,570 and 5,463

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570 : 5,463 = 5,463 : x
2. Step 2: Convert to fraction form
   2,570/5,463 = 5,463/x
3. Step 3: Cross multiply
   2,570x = 5,463 × 5,463
4. Step 4: Simplify right side
   2,570x = 29,844,369
5. Step 5: Solve for x
   x = 29,844,369/2,570
6. Step 6: Final answer
   x = 11,612.59