Finding the Third Proportional to 6,829.25 and 10,442.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,829.25 : 10,442.25 = 10,442.25 : x
2. Step 2: Convert to fraction form
   6,829.25/10,442.25 = 10,442.25/x
3. Step 3: Cross multiply
   6,829.25x = 10,442.25 × 10,442.25
4. Step 4: Simplify right side
   6,829.25x = 109,040,585.06
5. Step 5: Solve for x
   x = 109,040,585.06/6,829.25
6. Step 6: Final answer
   x = 15,966.70