Finding the Third Proportional to 17,938 and 41,685

Step by Step Solution

1. Step 1: Write the proportion equation
   17,938 : 41,685 = 41,685 : x
2. Step 2: Convert to fraction form
   17,938/41,685 = 41,685/x
3. Step 3: Cross multiply
   17,938x = 41,685 × 41,685
4. Step 4: Simplify right side
   17,938x = 1,737,639,225
5. Step 5: Solve for x
   x = 1,737,639,225/17,938
6. Step 6: Final answer
   x = 96,869.17