Finding the Third Proportional to 10,022 and 21,898

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 21,898 = 21,898 : x
2. Step 2: Convert to fraction form
   10,022/21,898 = 21,898/x
3. Step 3: Cross multiply
   10,022x = 21,898 × 21,898
4. Step 4: Simplify right side
   10,022x = 479,522,404
5. Step 5: Solve for x
   x = 479,522,404/10,022
6. Step 6: Final answer
   x = 47,846.98