Finding the Third Proportional to 8,146 and 17,514

Step by Step Solution

1. Step 1: Write the proportion equation
   8,146 : 17,514 = 17,514 : x
2. Step 2: Convert to fraction form
   8,146/17,514 = 17,514/x
3. Step 3: Cross multiply
   8,146x = 17,514 × 17,514
4. Step 4: Simplify right side
   8,146x = 306,740,196
5. Step 5: Solve for x
   x = 306,740,196/8,146
6. Step 6: Final answer
   x = 37,655.32