Finding the Third Proportional to 2,647.69 and 5,732.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 5,732.02 = 5,732.02 : x
2. Step 2: Convert to fraction form
   2,647.69/5,732.02 = 5,732.02/x
3. Step 3: Cross multiply
   2,647.69x = 5,732.02 × 5,732.02
4. Step 4: Simplify right side
   2,647.69x = 32,856,003.13
5. Step 5: Solve for x
   x = 32,856,003.13/2,647.69
6. Step 6: Final answer
   x = 12,409.32