Finding the Third Proportional to 10,833 and 23,223

Step by Step Solution

1. Step 1: Write the proportion equation
   10,833 : 23,223 = 23,223 : x
2. Step 2: Convert to fraction form
   10,833/23,223 = 23,223/x
3. Step 3: Cross multiply
   10,833x = 23,223 × 23,223
4. Step 4: Simplify right side
   10,833x = 539,307,729
5. Step 5: Solve for x
   x = 539,307,729/10,833
6. Step 6: Final answer
   x = 49,783.78