Finding the Third Proportional to 2,658.09 and 6,208.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.09 : 6,208.59 = 6,208.59 : x
2. Step 2: Convert to fraction form
   2,658.09/6,208.59 = 6,208.59/x
3. Step 3: Cross multiply
   2,658.09x = 6,208.59 × 6,208.59
4. Step 4: Simplify right side
   2,658.09x = 38,546,636.35
5. Step 5: Solve for x
   x = 38,546,636.35/2,658.09
6. Step 6: Final answer
   x = 14,501.61