Finding the Third Proportional to 4,122.56 and 5,530.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,122.56 : 5,530.78 = 5,530.78 : x
2. Step 2: Convert to fraction form
   4,122.56/5,530.78 = 5,530.78/x
3. Step 3: Cross multiply
   4,122.56x = 5,530.78 × 5,530.78
4. Step 4: Simplify right side
   4,122.56x = 30,589,541.24
5. Step 5: Solve for x
   x = 30,589,541.24/4,122.56
6. Step 6: Final answer
   x = 7,420.03