Finding the Third Proportional to 6,833.50 and 10,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,833.50 : 10,007.25 = 10,007.25 : x
2. Step 2: Convert to fraction form
   6,833.50/10,007.25 = 10,007.25/x
3. Step 3: Cross multiply
   6,833.50x = 10,007.25 × 10,007.25
4. Step 4: Simplify right side
   6,833.50x = 100,145,052.56
5. Step 5: Solve for x
   x = 100,145,052.56/6,833.50
6. Step 6: Final answer
   x = 14,655.02