Finding the Third Proportional to 6,828.50 and 10,291.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,828.50 : 10,291.25 = 10,291.25 : x
2. Step 2: Convert to fraction form
   6,828.50/10,291.25 = 10,291.25/x
3. Step 3: Cross multiply
   6,828.50x = 10,291.25 × 10,291.25
4. Step 4: Simplify right side
   6,828.50x = 105,909,826.56
5. Step 5: Solve for x
   x = 105,909,826.56/6,828.50
6. Step 6: Final answer
   x = 15,509.97