Finding the Third Proportional to 5,622.75 and 8,098.73

Step by Step Solution

1. Step 1: Write the proportion equation
   5,622.75 : 8,098.73 = 8,098.73 : x
2. Step 2: Convert to fraction form
   5,622.75/8,098.73 = 8,098.73/x
3. Step 3: Cross multiply
   5,622.75x = 8,098.73 × 8,098.73
4. Step 4: Simplify right side
   5,622.75x = 65,589,498.48
5. Step 5: Solve for x
   x = 65,589,498.48/5,622.75
6. Step 6: Final answer
   x = 11,665.02