Finding the Third Proportional to 4,144.50 and 9,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,144.50 : 9,724.50 = 9,724.50 : x
2. Step 2: Convert to fraction form
   4,144.50/9,724.50 = 9,724.50/x
3. Step 3: Cross multiply
   4,144.50x = 9,724.50 × 9,724.50
4. Step 4: Simplify right side
   4,144.50x = 94,565,900.25
5. Step 5: Solve for x
   x = 94,565,900.25/4,144.50
6. Step 6: Final answer
   x = 22,817.20