Finding the Third Proportional to 2,542.78 and 5,468.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.78 : 5,468.91 = 5,468.91 : x
2. Step 2: Convert to fraction form
   2,542.78/5,468.91 = 5,468.91/x
3. Step 3: Cross multiply
   2,542.78x = 5,468.91 × 5,468.91
4. Step 4: Simplify right side
   2,542.78x = 29,908,935.57
5. Step 5: Solve for x
   x = 29,908,935.57/2,542.78
6. Step 6: Final answer
   x = 11,762.29