Finding the Third Proportional to 10,170 and 21,546

Step by Step Solution

1. Step 1: Write the proportion equation
   10,170 : 21,546 = 21,546 : x
2. Step 2: Convert to fraction form
   10,170/21,546 = 21,546/x
3. Step 3: Cross multiply
   10,170x = 21,546 × 21,546
4. Step 4: Simplify right side
   10,170x = 464,230,116
5. Step 5: Solve for x
   x = 464,230,116/10,170
6. Step 6: Final answer
   x = 45,647.01