Finding the Third Proportional to 3,824.50 and 4,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,824.50 : 4,184.50 = 4,184.50 : x
2. Step 2: Convert to fraction form
   3,824.50/4,184.50 = 4,184.50/x
3. Step 3: Cross multiply
   3,824.50x = 4,184.50 × 4,184.50
4. Step 4: Simplify right side
   3,824.50x = 17,510,040.25
5. Step 5: Solve for x
   x = 17,510,040.25/3,824.50
6. Step 6: Final answer
   x = 4,578.39