Finding the Third Proportional to 2,647.69 and 6,184.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 6,184.69 = 6,184.69 : x
2. Step 2: Convert to fraction form
   2,647.69/6,184.69 = 6,184.69/x
3. Step 3: Cross multiply
   2,647.69x = 6,184.69 × 6,184.69
4. Step 4: Simplify right side
   2,647.69x = 38,250,359.47
5. Step 5: Solve for x
   x = 38,250,359.47/2,647.69
6. Step 6: Final answer
   x = 14,446.70