Finding the Third Proportional to 2,665.41 and 5,740.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.41 : 5,740.88 = 5,740.88 : x
2. Step 2: Convert to fraction form
   2,665.41/5,740.88 = 5,740.88/x
3. Step 3: Cross multiply
   2,665.41x = 5,740.88 × 5,740.88
4. Step 4: Simplify right side
   2,665.41x = 32,957,645.77
5. Step 5: Solve for x
   x = 32,957,645.77/2,665.41
6. Step 6: Final answer
   x = 12,364.96