Finding the Third Proportional to 2,557.69 and 5,592.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.69 : 5,592.38 = 5,592.38 : x
2. Step 2: Convert to fraction form
   2,557.69/5,592.38 = 5,592.38/x
3. Step 3: Cross multiply
   2,557.69x = 5,592.38 × 5,592.38
4. Step 4: Simplify right side
   2,557.69x = 31,274,658.14
5. Step 5: Solve for x
   x = 31,274,658.14/2,557.69
6. Step 6: Final answer
   x = 12,227.71