Finding the Third Proportional to 3,760.75 and 5,846.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,760.75 : 5,846.78 = 5,846.78 : x
2. Step 2: Convert to fraction form
   3,760.75/5,846.78 = 5,846.78/x
3. Step 3: Cross multiply
   3,760.75x = 5,846.78 × 5,846.78
4. Step 4: Simplify right side
   3,760.75x = 34,184,850.99
5. Step 5: Solve for x
   x = 34,184,850.99/3,760.75
6. Step 6: Final answer
   x = 9,089.90