Finding the Third Proportional to 6,801 and 10,403.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,801 : 10,403.25 = 10,403.25 : x
2. Step 2: Convert to fraction form
   6,801/10,403.25 = 10,403.25/x
3. Step 3: Cross multiply
   6,801x = 10,403.25 × 10,403.25
4. Step 4: Simplify right side
   6,801x = 108,227,610.56
5. Step 5: Solve for x
   x = 108,227,610.56/6,801
6. Step 6: Final answer
   x = 15,913.48