Finding the Third Proportional to 2,552.77 and 5,542.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.77 : 5,542.17 = 5,542.17 : x
2. Step 2: Convert to fraction form
   2,552.77/5,542.17 = 5,542.17/x
3. Step 3: Cross multiply
   2,552.77x = 5,542.17 × 5,542.17
4. Step 4: Simplify right side
   2,552.77x = 30,715,669.09
5. Step 5: Solve for x
   x = 30,715,669.09/2,552.77
6. Step 6: Final answer
   x = 12,032.31