Finding the Third Proportional to 4,109 and 5,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,109 : 5,490.50 = 5,490.50 : x
2. Step 2: Convert to fraction form
   4,109/5,490.50 = 5,490.50/x
3. Step 3: Cross multiply
   4,109x = 5,490.50 × 5,490.50
4. Step 4: Simplify right side
   4,109x = 30,145,590.25
5. Step 5: Solve for x
   x = 30,145,590.25/4,109
6. Step 6: Final answer
   x = 7,336.48