Finding the Third Proportional to 9,836 and 16,514

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 16,514 = 16,514 : x
2. Step 2: Convert to fraction form
   9,836/16,514 = 16,514/x
3. Step 3: Cross multiply
   9,836x = 16,514 × 16,514
4. Step 4: Simplify right side
   9,836x = 272,712,196
5. Step 5: Solve for x
   x = 272,712,196/9,836
6. Step 6: Final answer
   x = 27,725.92