Finding the Third Proportional to 4,558.78 and 7,048.27

Step by Step Solution

1. Step 1: Write the proportion equation
   4,558.78 : 7,048.27 = 7,048.27 : x
2. Step 2: Convert to fraction form
   4,558.78/7,048.27 = 7,048.27/x
3. Step 3: Cross multiply
   4,558.78x = 7,048.27 × 7,048.27
4. Step 4: Simplify right side
   4,558.78x = 49,678,048.32
5. Step 5: Solve for x
   x = 49,678,048.32/4,558.78
6. Step 6: Final answer
   x = 10,897.22