Finding the Third Proportional to 4,022.53 and 8,429.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,022.53 : 8,429.81 = 8,429.81 : x
2. Step 2: Convert to fraction form
   4,022.53/8,429.81 = 8,429.81/x
3. Step 3: Cross multiply
   4,022.53x = 8,429.81 × 8,429.81
4. Step 4: Simplify right side
   4,022.53x = 71,061,738.79
5. Step 5: Solve for x
   x = 71,061,738.79/4,022.53
6. Step 6: Final answer
   x = 17,665.93