Finding the Third Proportional to 2,509.31 and 5,497.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.31 : 5,497.31 = 5,497.31 : x
2. Step 2: Convert to fraction form
   2,509.31/5,497.31 = 5,497.31/x
3. Step 3: Cross multiply
   2,509.31x = 5,497.31 × 5,497.31
4. Step 4: Simplify right side
   2,509.31x = 30,220,444.72
5. Step 5: Solve for x
   x = 30,220,444.72/2,509.31
6. Step 6: Final answer
   x = 12,043.32