Finding the Third Proportional to 10,198.50 and 13,724.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,198.50 : 13,724.75 = 13,724.75 : x
2. Step 2: Convert to fraction form
   10,198.50/13,724.75 = 13,724.75/x
3. Step 3: Cross multiply
   10,198.50x = 13,724.75 × 13,724.75
4. Step 4: Simplify right side
   10,198.50x = 188,368,762.56
5. Step 5: Solve for x
   x = 188,368,762.56/10,198.50
6. Step 6: Final answer
   x = 18,470.24