Finding the Third Proportional to 3,863.25 and 5,780.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,863.25 : 5,780.25 = 5,780.25 : x
2. Step 2: Convert to fraction form
   3,863.25/5,780.25 = 5,780.25/x
3. Step 3: Cross multiply
   3,863.25x = 5,780.25 × 5,780.25
4. Step 4: Simplify right side
   3,863.25x = 33,411,290.06
5. Step 5: Solve for x
   x = 33,411,290.06/3,863.25
6. Step 6: Final answer
   x = 8,648.49