Finding the Third Proportional to 3,777.25 and 5,863.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,777.25 : 5,863.25 = 5,863.25 : x
2. Step 2: Convert to fraction form
   3,777.25/5,863.25 = 5,863.25/x
3. Step 3: Cross multiply
   3,777.25x = 5,863.25 × 5,863.25
4. Step 4: Simplify right side
   3,777.25x = 34,377,700.56
5. Step 5: Solve for x
   x = 34,377,700.56/3,777.25
6. Step 6: Final answer
   x = 9,101.25