Finding the Third Proportional to 10,824.50 and 23,267

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824.50 : 23,267 = 23,267 : x
2. Step 2: Convert to fraction form
   10,824.50/23,267 = 23,267/x
3. Step 3: Cross multiply
   10,824.50x = 23,267 × 23,267
4. Step 4: Simplify right side
   10,824.50x = 541,353,289
5. Step 5: Solve for x
   x = 541,353,289/10,824.50
6. Step 6: Final answer
   x = 50,011.85