Finding the Third Proportional to 5,104.69 and 5,509.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,104.69 : 5,509.69 = 5,509.69 : x
2. Step 2: Convert to fraction form
   5,104.69/5,509.69 = 5,509.69/x
3. Step 3: Cross multiply
   5,104.69x = 5,509.69 × 5,509.69
4. Step 4: Simplify right side
   5,104.69x = 30,356,656.35
5. Step 5: Solve for x
   x = 30,356,656.35/5,104.69
6. Step 6: Final answer
   x = 5,946.82