Finding the Third Proportional to 2,647.69 and 6,154.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 6,154.31 = 6,154.31 : x
2. Step 2: Convert to fraction form
   2,647.69/6,154.31 = 6,154.31/x
3. Step 3: Cross multiply
   2,647.69x = 6,154.31 × 6,154.31
4. Step 4: Simplify right side
   2,647.69x = 37,875,562.35
5. Step 5: Solve for x
   x = 37,875,562.35/2,647.69
6. Step 6: Final answer
   x = 14,305.15