Finding the Third Proportional to 2,616.75 and 3,841.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,616.75 : 3,841.31 = 3,841.31 : x
2. Step 2: Convert to fraction form
   2,616.75/3,841.31 = 3,841.31/x
3. Step 3: Cross multiply
   2,616.75x = 3,841.31 × 3,841.31
4. Step 4: Simplify right side
   2,616.75x = 14,755,681.72
5. Step 5: Solve for x
   x = 14,755,681.72/2,616.75
6. Step 6: Final answer
   x = 5,638.93