Finding the Third Proportional to 10,256 and 16,520

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 16,520 = 16,520 : x
2. Step 2: Convert to fraction form
   10,256/16,520 = 16,520/x
3. Step 3: Cross multiply
   10,256x = 16,520 × 16,520
4. Step 4: Simplify right side
   10,256x = 272,910,400
5. Step 5: Solve for x
   x = 272,910,400/10,256
6. Step 6: Final answer
   x = 26,609.83