Finding the Third Proportional to 6,824 and 10,362

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824 : 10,362 = 10,362 : x
2. Step 2: Convert to fraction form
   6,824/10,362 = 10,362/x
3. Step 3: Cross multiply
   6,824x = 10,362 × 10,362
4. Step 4: Simplify right side
   6,824x = 107,371,044
5. Step 5: Solve for x
   x = 107,371,044/6,824
6. Step 6: Final answer
   x = 15,734.33