Finding the Third Proportional to 10,190 and 21,697

Step by Step Solution

1. Step 1: Write the proportion equation
   10,190 : 21,697 = 21,697 : x
2. Step 2: Convert to fraction form
   10,190/21,697 = 21,697/x
3. Step 3: Cross multiply
   10,190x = 21,697 × 21,697
4. Step 4: Simplify right side
   10,190x = 470,759,809
5. Step 5: Solve for x
   x = 470,759,809/10,190
6. Step 6: Final answer
   x = 46,198.21