Finding the Third Proportional to 10,520 and 16,084

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520 : 16,084 = 16,084 : x
2. Step 2: Convert to fraction form
   10,520/16,084 = 16,084/x
3. Step 3: Cross multiply
   10,520x = 16,084 × 16,084
4. Step 4: Simplify right side
   10,520x = 258,695,056
5. Step 5: Solve for x
   x = 258,695,056/10,520
6. Step 6: Final answer
   x = 24,590.78