Finding the Third Proportional to 16,086 and 25,583

Step by Step Solution

1. Step 1: Write the proportion equation
   16,086 : 25,583 = 25,583 : x
2. Step 2: Convert to fraction form
   16,086/25,583 = 25,583/x
3. Step 3: Cross multiply
   16,086x = 25,583 × 25,583
4. Step 4: Simplify right side
   16,086x = 654,489,889
5. Step 5: Solve for x
   x = 654,489,889/16,086
6. Step 6: Final answer
   x = 40,686.93