Finding the Third Proportional to 12,402 and 16,083

Step by Step Solution

1. Step 1: Write the proportion equation
   12,402 : 16,083 = 16,083 : x
2. Step 2: Convert to fraction form
   12,402/16,083 = 16,083/x
3. Step 3: Cross multiply
   12,402x = 16,083 × 16,083
4. Step 4: Simplify right side
   12,402x = 258,662,889
5. Step 5: Solve for x
   x = 258,662,889/12,402
6. Step 6: Final answer
   x = 20,856.55