Finding the Third Proportional to 4,153.50 and 5,924.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,153.50 : 5,924.25 = 5,924.25 : x
2. Step 2: Convert to fraction form
   4,153.50/5,924.25 = 5,924.25/x
3. Step 3: Cross multiply
   4,153.50x = 5,924.25 × 5,924.25
4. Step 4: Simplify right side
   4,153.50x = 35,096,738.06
5. Step 5: Solve for x
   x = 35,096,738.06/4,153.50
6. Step 6: Final answer
   x = 8,449.92