Finding the Third Proportional to 16,383 and 25,982.25

Step by Step Solution

1. Step 1: Write the proportion equation
   16,383 : 25,982.25 = 25,982.25 : x
2. Step 2: Convert to fraction form
   16,383/25,982.25 = 25,982.25/x
3. Step 3: Cross multiply
   16,383x = 25,982.25 × 25,982.25
4. Step 4: Simplify right side
   16,383x = 675,077,315.06
5. Step 5: Solve for x
   x = 675,077,315.06/16,383
6. Step 6: Final answer
   x = 41,205.96