Finding the Third Proportional to 17,942 and 41,695

Step by Step Solution

1. Step 1: Write the proportion equation
   17,942 : 41,695 = 41,695 : x
2. Step 2: Convert to fraction form
   17,942/41,695 = 41,695/x
3. Step 3: Cross multiply
   17,942x = 41,695 × 41,695
4. Step 4: Simplify right side
   17,942x = 1,738,473,025
5. Step 5: Solve for x
   x = 1,738,473,025/17,942
6. Step 6: Final answer
   x = 96,894.05