Finding the Third Proportional to 10,829 and 23,270

Step by Step Solution

1. Step 1: Write the proportion equation
   10,829 : 23,270 = 23,270 : x
2. Step 2: Convert to fraction form
   10,829/23,270 = 23,270/x
3. Step 3: Cross multiply
   10,829x = 23,270 × 23,270
4. Step 4: Simplify right side
   10,829x = 541,492,900
5. Step 5: Solve for x
   x = 541,492,900/10,829
6. Step 6: Final answer
   x = 50,003.96