Finding the Third Proportional to 6,825.38 and 10,227.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,825.38 : 10,227.94 = 10,227.94 : x
2. Step 2: Convert to fraction form
   6,825.38/10,227.94 = 10,227.94/x
3. Step 3: Cross multiply
   6,825.38x = 10,227.94 × 10,227.94
4. Step 4: Simplify right side
   6,825.38x = 104,610,705.50
5. Step 5: Solve for x
   x = 104,610,705.50/6,825.38
6. Step 6: Final answer
   x = 15,326.73