Finding the Third Proportional to 10,834 and 23,306

Step by Step Solution

1. Step 1: Write the proportion equation
   10,834 : 23,306 = 23,306 : x
2. Step 2: Convert to fraction form
   10,834/23,306 = 23,306/x
3. Step 3: Cross multiply
   10,834x = 23,306 × 23,306
4. Step 4: Simplify right side
   10,834x = 543,169,636
5. Step 5: Solve for x
   x = 543,169,636/10,834
6. Step 6: Final answer
   x = 50,135.65