Finding the Third Proportional to 10,379.71 and 13,724.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,379.71 : 13,724.28 = 13,724.28 : x
2. Step 2: Convert to fraction form
   10,379.71/13,724.28 = 13,724.28/x
3. Step 3: Cross multiply
   10,379.71x = 13,724.28 × 13,724.28
4. Step 4: Simplify right side
   10,379.71x = 188,355,842.22
5. Step 5: Solve for x
   x = 188,355,842.22/10,379.71
6. Step 6: Final answer
   x = 18,146.55