Finding the Third Proportional to 4,114.69 and 8,021.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,114.69 : 8,021.25 = 8,021.25 : x
2. Step 2: Convert to fraction form
   4,114.69/8,021.25 = 8,021.25/x
3. Step 3: Cross multiply
   4,114.69x = 8,021.25 × 8,021.25
4. Step 4: Simplify right side
   4,114.69x = 64,340,451.56
5. Step 5: Solve for x
   x = 64,340,451.56/4,114.69
6. Step 6: Final answer
   x = 15,636.78