Finding the Third Proportional to 2,569 and 5,123

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569 : 5,123 = 5,123 : x
2. Step 2: Convert to fraction form
   2,569/5,123 = 5,123/x
3. Step 3: Cross multiply
   2,569x = 5,123 × 5,123
4. Step 4: Simplify right side
   2,569x = 26,245,129
5. Step 5: Solve for x
   x = 26,245,129/2,569
6. Step 6: Final answer
   x = 10,216.09