Finding the Third Proportional to 2,409 and 5,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,409 : 5,110.50 = 5,110.50 : x
2. Step 2: Convert to fraction form
   2,409/5,110.50 = 5,110.50/x
3. Step 3: Cross multiply
   2,409x = 5,110.50 × 5,110.50
4. Step 4: Simplify right side
   2,409x = 26,117,210.25
5. Step 5: Solve for x
   x = 26,117,210.25/2,409
6. Step 6: Final answer
   x = 10,841.52