Finding the Third Proportional to 2,515.90 and 3,841.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,515.90 : 3,841.49 = 3,841.49 : x
2. Step 2: Convert to fraction form
   2,515.90/3,841.49 = 3,841.49/x
3. Step 3: Cross multiply
   2,515.90x = 3,841.49 × 3,841.49
4. Step 4: Simplify right side
   2,515.90x = 14,757,032.21
5. Step 5: Solve for x
   x = 14,757,032.21/2,515.90
6. Step 6: Final answer
   x = 5,865.50