Finding the Third Proportional to 3,457.69 and 4,024.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,457.69 : 4,024.69 = 4,024.69 : x
2. Step 2: Convert to fraction form
   3,457.69/4,024.69 = 4,024.69/x
3. Step 3: Cross multiply
   3,457.69x = 4,024.69 × 4,024.69
4. Step 4: Simplify right side
   3,457.69x = 16,198,109.47
5. Step 5: Solve for x
   x = 16,198,109.47/3,457.69
6. Step 6: Final answer
   x = 4,684.67