Finding the Third Proportional to 10,026 and 22,016

Step by Step Solution

1. Step 1: Write the proportion equation
   10,026 : 22,016 = 22,016 : x
2. Step 2: Convert to fraction form
   10,026/22,016 = 22,016/x
3. Step 3: Cross multiply
   10,026x = 22,016 × 22,016
4. Step 4: Simplify right side
   10,026x = 484,704,256
5. Step 5: Solve for x
   x = 484,704,256/10,026
6. Step 6: Final answer
   x = 48,344.73