Finding the Third Proportional to 16,084 and 25,580

Step by Step Solution

1. Step 1: Write the proportion equation
   16,084 : 25,580 = 25,580 : x
2. Step 2: Convert to fraction form
   16,084/25,580 = 25,580/x
3. Step 3: Cross multiply
   16,084x = 25,580 × 25,580
4. Step 4: Simplify right side
   16,084x = 654,336,400
5. Step 5: Solve for x
   x = 654,336,400/16,084
6. Step 6: Final answer
   x = 40,682.44