Finding the Third Proportional to 7,282 and 10,223

Step by Step Solution

1. Step 1: Write the proportion equation
   7,282 : 10,223 = 10,223 : x
2. Step 2: Convert to fraction form
   7,282/10,223 = 10,223/x
3. Step 3: Cross multiply
   7,282x = 10,223 × 10,223
4. Step 4: Simplify right side
   7,282x = 104,509,729
5. Step 5: Solve for x
   x = 104,509,729/7,282
6. Step 6: Final answer
   x = 14,351.79