Finding the Third Proportional to 6,828.75 and 10,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,828.75 : 10,441.50 = 10,441.50 : x
2. Step 2: Convert to fraction form
   6,828.75/10,441.50 = 10,441.50/x
3. Step 3: Cross multiply
   6,828.75x = 10,441.50 × 10,441.50
4. Step 4: Simplify right side
   6,828.75x = 109,024,922.25
5. Step 5: Solve for x
   x = 109,024,922.25/6,828.75
6. Step 6: Final answer
   x = 15,965.58