Finding the Third Proportional to 6,802 and 10,223

Step by Step Solution

1. Step 1: Write the proportion equation
   6,802 : 10,223 = 10,223 : x
2. Step 2: Convert to fraction form
   6,802/10,223 = 10,223/x
3. Step 3: Cross multiply
   6,802x = 10,223 × 10,223
4. Step 4: Simplify right side
   6,802x = 104,509,729
5. Step 5: Solve for x
   x = 104,509,729/6,802
6. Step 6: Final answer
   x = 15,364.56