Finding the Third Proportional to 4,218.19 and 4,825.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,218.19 : 4,825.69 = 4,825.69 : x
2. Step 2: Convert to fraction form
   4,218.19/4,825.69 = 4,825.69/x
3. Step 3: Cross multiply
   4,218.19x = 4,825.69 × 4,825.69
4. Step 4: Simplify right side
   4,218.19x = 23,287,259.85
5. Step 5: Solve for x
   x = 23,287,259.85/4,218.19
6. Step 6: Final answer
   x = 5,520.68