Finding the Third Proportional to 2,461.80 and 5,269.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,461.80 : 5,269.59 = 5,269.59 : x
2. Step 2: Convert to fraction form
   2,461.80/5,269.59 = 5,269.59/x
3. Step 3: Cross multiply
   2,461.80x = 5,269.59 × 5,269.59
4. Step 4: Simplify right side
   2,461.80x = 27,768,556.54
5. Step 5: Solve for x
   x = 27,768,556.54/2,461.80
6. Step 6: Final answer
   x = 11,279.78