Finding the Third Proportional to 2,647.69 and 4,177.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 4,177.83 = 4,177.83 : x
2. Step 2: Convert to fraction form
   2,647.69/4,177.83 = 4,177.83/x
3. Step 3: Cross multiply
   2,647.69x = 4,177.83 × 4,177.83
4. Step 4: Simplify right side
   2,647.69x = 17,454,247.84
5. Step 5: Solve for x
   x = 17,454,247.84/2,647.69
6. Step 6: Final answer
   x = 6,592.26