Finding the Third Proportional to 3,777.05 and 5,836.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,777.05 : 5,836.22 = 5,836.22 : x
2. Step 2: Convert to fraction form
   3,777.05/5,836.22 = 5,836.22/x
3. Step 3: Cross multiply
   3,777.05x = 5,836.22 × 5,836.22
4. Step 4: Simplify right side
   3,777.05x = 34,061,449.30
5. Step 5: Solve for x
   x = 34,061,449.30/3,777.05
6. Step 6: Final answer
   x = 9,018.01