Finding the Third Proportional to 6,824 and 10,284

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824 : 10,284 = 10,284 : x
2. Step 2: Convert to fraction form
   6,824/10,284 = 10,284/x
3. Step 3: Cross multiply
   6,824x = 10,284 × 10,284
4. Step 4: Simplify right side
   6,824x = 105,760,656
5. Step 5: Solve for x
   x = 105,760,656/6,824
6. Step 6: Final answer
   x = 15,498.34