Finding the Third Proportional to 21,744 and 31,848

Step by Step Solution

1. Step 1: Write the proportion equation
   21,744 : 31,848 = 31,848 : x
2. Step 2: Convert to fraction form
   21,744/31,848 = 31,848/x
3. Step 3: Cross multiply
   21,744x = 31,848 × 31,848
4. Step 4: Simplify right side
   21,744x = 1,014,295,104
5. Step 5: Solve for x
   x = 1,014,295,104/21,744
6. Step 6: Final answer
   x = 46,647.13