Finding the Third Proportional to 10,382 and 16,083

Step by Step Solution

1. Step 1: Write the proportion equation
   10,382 : 16,083 = 16,083 : x
2. Step 2: Convert to fraction form
   10,382/16,083 = 16,083/x
3. Step 3: Cross multiply
   10,382x = 16,083 × 16,083
4. Step 4: Simplify right side
   10,382x = 258,662,889
5. Step 5: Solve for x
   x = 258,662,889/10,382
6. Step 6: Final answer
   x = 24,914.55