Finding the Third Proportional to 6,833.25 and 10,249.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,833.25 : 10,249.88 = 10,249.88 : x
2. Step 2: Convert to fraction form
   6,833.25/10,249.88 = 10,249.88/x
3. Step 3: Cross multiply
   6,833.25x = 10,249.88 × 10,249.88
4. Step 4: Simplify right side
   6,833.25x = 105,059,937.52
5. Step 5: Solve for x
   x = 105,059,937.52/6,833.25
6. Step 6: Final answer
   x = 15,374.81