Finding the Third Proportional to 3,760 and 5,976

Step by Step Solution

1. Step 1: Write the proportion equation
   3,760 : 5,976 = 5,976 : x
2. Step 2: Convert to fraction form
   3,760/5,976 = 5,976/x
3. Step 3: Cross multiply
   3,760x = 5,976 × 5,976
4. Step 4: Simplify right side
   3,760x = 35,712,576
5. Step 5: Solve for x
   x = 35,712,576/3,760
6. Step 6: Final answer
   x = 9,498.03