Finding the Third Proportional to 10,822 and 23,039

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822 : 23,039 = 23,039 : x
2. Step 2: Convert to fraction form
   10,822/23,039 = 23,039/x
3. Step 3: Cross multiply
   10,822x = 23,039 × 23,039
4. Step 4: Simplify right side
   10,822x = 530,795,521
5. Step 5: Solve for x
   x = 530,795,521/10,822
6. Step 6: Final answer
   x = 49,047.82