Finding the Third Proportional to 10,206 and 21,692

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 21,692 = 21,692 : x
2. Step 2: Convert to fraction form
   10,206/21,692 = 21,692/x
3. Step 3: Cross multiply
   10,206x = 21,692 × 21,692
4. Step 4: Simplify right side
   10,206x = 470,542,864
5. Step 5: Solve for x
   x = 470,542,864/10,206
6. Step 6: Final answer
   x = 46,104.53