Finding the Third Proportional to 6,824 and 10,001

Step by Step Solution

1. Step 1: Write the proportion equation
   6,824 : 10,001 = 10,001 : x
2. Step 2: Convert to fraction form
   6,824/10,001 = 10,001/x
3. Step 3: Cross multiply
   6,824x = 10,001 × 10,001
4. Step 4: Simplify right side
   6,824x = 100,020,001
5. Step 5: Solve for x
   x = 100,020,001/6,824
6. Step 6: Final answer
   x = 14,657.09