Finding the Third Proportional to 6,825.88 and 10,853.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,825.88 : 10,853.69 = 10,853.69 : x
2. Step 2: Convert to fraction form
   6,825.88/10,853.69 = 10,853.69/x
3. Step 3: Cross multiply
   6,825.88x = 10,853.69 × 10,853.69
4. Step 4: Simplify right side
   6,825.88x = 117,802,532.35
5. Step 5: Solve for x
   x = 117,802,532.35/6,825.88
6. Step 6: Final answer
   x = 17,258.23