Finding the Third Proportional to 10,831 and 23,029

Step by Step Solution

1. Step 1: Write the proportion equation
   10,831 : 23,029 = 23,029 : x
2. Step 2: Convert to fraction form
   10,831/23,029 = 23,029/x
3. Step 3: Cross multiply
   10,831x = 23,029 × 23,029
4. Step 4: Simplify right side
   10,831x = 530,334,841
5. Step 5: Solve for x
   x = 530,334,841/10,831
6. Step 6: Final answer
   x = 48,964.53