Finding the Third Proportional to 10,834 and 23,222

Step by Step Solution

1. Step 1: Write the proportion equation
   10,834 : 23,222 = 23,222 : x
2. Step 2: Convert to fraction form
   10,834/23,222 = 23,222/x
3. Step 3: Cross multiply
   10,834x = 23,222 × 23,222
4. Step 4: Simplify right side
   10,834x = 539,261,284
5. Step 5: Solve for x
   x = 539,261,284/10,834
6. Step 6: Final answer
   x = 49,774.90