Finding the Third Proportional to 5,836.22 and 8,389.83

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836.22 : 8,389.83 = 8,389.83 : x
2. Step 2: Convert to fraction form
   5,836.22/8,389.83 = 8,389.83/x
3. Step 3: Cross multiply
   5,836.22x = 8,389.83 × 8,389.83
4. Step 4: Simplify right side
   5,836.22x = 70,389,215.97
5. Step 5: Solve for x
   x = 70,389,215.97/5,836.22
6. Step 6: Final answer
   x = 12,060.76