Finding the Third Proportional to 2,647.69 and 3,846.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 3,846.23 = 3,846.23 : x
2. Step 2: Convert to fraction form
   2,647.69/3,846.23 = 3,846.23/x
3. Step 3: Cross multiply
   2,647.69x = 3,846.23 × 3,846.23
4. Step 4: Simplify right side
   2,647.69x = 14,793,518.87
5. Step 5: Solve for x
   x = 14,793,518.87/2,647.69
6. Step 6: Final answer
   x = 5,587.34