Finding the Third Proportional to 2,409.12 and 5,764.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,409.12 : 5,764.61 = 5,764.61 : x
2. Step 2: Convert to fraction form
   2,409.12/5,764.61 = 5,764.61/x
3. Step 3: Cross multiply
   2,409.12x = 5,764.61 × 5,764.61
4. Step 4: Simplify right side
   2,409.12x = 33,230,676.21
5. Step 5: Solve for x
   x = 33,230,676.21/2,409.12
6. Step 6: Final answer
   x = 13,793.72