Finding the Third Proportional to 6,820 and 10,004

Step by Step Solution

1. Step 1: Write the proportion equation
   6,820 : 10,004 = 10,004 : x
2. Step 2: Convert to fraction form
   6,820/10,004 = 10,004/x
3. Step 3: Cross multiply
   6,820x = 10,004 × 10,004
4. Step 4: Simplify right side
   6,820x = 100,080,016
5. Step 5: Solve for x
   x = 100,080,016/6,820
6. Step 6: Final answer
   x = 14,674.49