Finding the Third Proportional to 3,776.81 and 5,964.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,776.81 : 5,964.56 = 5,964.56 : x
2. Step 2: Convert to fraction form
   3,776.81/5,964.56 = 5,964.56/x
3. Step 3: Cross multiply
   3,776.81x = 5,964.56 × 5,964.56
4. Step 4: Simplify right side
   3,776.81x = 35,576,005.82
5. Step 5: Solve for x
   x = 35,576,005.82/3,776.81
6. Step 6: Final answer
   x = 9,419.58