Finding the Third Proportional to 4,456.69 and 5,794.03

Step by Step Solution

1. Step 1: Write the proportion equation
   4,456.69 : 5,794.03 = 5,794.03 : x
2. Step 2: Convert to fraction form
   4,456.69/5,794.03 = 5,794.03/x
3. Step 3: Cross multiply
   4,456.69x = 5,794.03 × 5,794.03
4. Step 4: Simplify right side
   4,456.69x = 33,570,798.13
5. Step 5: Solve for x
   x = 33,570,798.13/4,456.69
6. Step 6: Final answer
   x = 7,532.68