Finding the Third Proportional to 2,653.88 and 5,740.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,653.88 : 5,740.31 = 5,740.31 : x
2. Step 2: Convert to fraction form
   2,653.88/5,740.31 = 5,740.31/x
3. Step 3: Cross multiply
   2,653.88x = 5,740.31 × 5,740.31
4. Step 4: Simplify right side
   2,653.88x = 32,951,187.60
5. Step 5: Solve for x
   x = 32,951,187.60/2,653.88
6. Step 6: Final answer
   x = 12,416.25