Finding the Third Proportional to 9,824 and 23,171

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824 : 23,171 = 23,171 : x
2. Step 2: Convert to fraction form
   9,824/23,171 = 23,171/x
3. Step 3: Cross multiply
   9,824x = 23,171 × 23,171
4. Step 4: Simplify right side
   9,824x = 536,895,241
5. Step 5: Solve for x
   x = 536,895,241/9,824
6. Step 6: Final answer
   x = 54,651.39