Finding the Third Proportional to 4,108.22 and 5,796.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,108.22 : 5,796.56 = 5,796.56 : x
2. Step 2: Convert to fraction form
   4,108.22/5,796.56 = 5,796.56/x
3. Step 3: Cross multiply
   4,108.22x = 5,796.56 × 5,796.56
4. Step 4: Simplify right side
   4,108.22x = 33,600,136.82
5. Step 5: Solve for x
   x = 33,600,136.82/4,108.22
6. Step 6: Final answer
   x = 8,178.76