Finding the Third Proportional to 17,834 and 41,182

Step by Step Solution

1. Step 1: Write the proportion equation
   17,834 : 41,182 = 41,182 : x
2. Step 2: Convert to fraction form
   17,834/41,182 = 41,182/x
3. Step 3: Cross multiply
   17,834x = 41,182 × 41,182
4. Step 4: Simplify right side
   17,834x = 1,695,957,124
5. Step 5: Solve for x
   x = 1,695,957,124/17,834
6. Step 6: Final answer
   x = 95,096.84