Finding the Third Proportional to 17,586 and 41,514

Step by Step Solution

1. Step 1: Write the proportion equation
   17,586 : 41,514 = 41,514 : x
2. Step 2: Convert to fraction form
   17,586/41,514 = 41,514/x
3. Step 3: Cross multiply
   17,586x = 41,514 × 41,514
4. Step 4: Simplify right side
   17,586x = 1,723,412,196
5. Step 5: Solve for x
   x = 1,723,412,196/17,586
6. Step 6: Final answer
   x = 97,999.10