Finding the Third Proportional to 2,638.69 and 4,120.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.69 : 4,120.31 = 4,120.31 : x
2. Step 2: Convert to fraction form
   2,638.69/4,120.31 = 4,120.31/x
3. Step 3: Cross multiply
   2,638.69x = 4,120.31 × 4,120.31
4. Step 4: Simplify right side
   2,638.69x = 16,976,975.10
5. Step 5: Solve for x
   x = 16,976,975.10/2,638.69
6. Step 6: Final answer
   x = 6,433.87