Finding the Third Proportional to 10,072 and 22,019

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 22,019 = 22,019 : x
2. Step 2: Convert to fraction form
   10,072/22,019 = 22,019/x
3. Step 3: Cross multiply
   10,072x = 22,019 × 22,019
4. Step 4: Simplify right side
   10,072x = 484,836,361
5. Step 5: Solve for x
   x = 484,836,361/10,072
6. Step 6: Final answer
   x = 48,137.05