Finding the Third Proportional to 2,169.50 and 4,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,169.50 : 4,824.50 = 4,824.50 : x
2. Step 2: Convert to fraction form
   2,169.50/4,824.50 = 4,824.50/x
3. Step 3: Cross multiply
   2,169.50x = 4,824.50 × 4,824.50
4. Step 4: Simplify right side
   2,169.50x = 23,275,800.25
5. Step 5: Solve for x
   x = 23,275,800.25/2,169.50
6. Step 6: Final answer
   x = 10,728.65