Finding the Third Proportional to 10,166 and 21,996

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166 : 21,996 = 21,996 : x
2. Step 2: Convert to fraction form
   10,166/21,996 = 21,996/x
3. Step 3: Cross multiply
   10,166x = 21,996 × 21,996
4. Step 4: Simplify right side
   10,166x = 483,824,016
5. Step 5: Solve for x
   x = 483,824,016/10,166
6. Step 6: Final answer
   x = 47,592.37