Finding the Third Proportional to 16,084 and 24,590

Step by Step Solution

1. Step 1: Write the proportion equation
   16,084 : 24,590 = 24,590 : x
2. Step 2: Convert to fraction form
   16,084/24,590 = 24,590/x
3. Step 3: Cross multiply
   16,084x = 24,590 × 24,590
4. Step 4: Simplify right side
   16,084x = 604,668,100
5. Step 5: Solve for x
   x = 604,668,100/16,084
6. Step 6: Final answer
   x = 37,594.39