Finding the Third Proportional to 3,836.74 and 5,964.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.74 : 5,964.89 = 5,964.89 : x
2. Step 2: Convert to fraction form
   3,836.74/5,964.89 = 5,964.89/x
3. Step 3: Cross multiply
   3,836.74x = 5,964.89 × 5,964.89
4. Step 4: Simplify right side
   3,836.74x = 35,579,920.17
5. Step 5: Solve for x
   x = 35,579,920.17/3,836.74
6. Step 6: Final answer
   x = 9,273.47