Finding the Third Proportional to 19,165 and 41,892

Step by Step Solution

1. Step 1: Write the proportion equation
   19,165 : 41,892 = 41,892 : x
2. Step 2: Convert to fraction form
   19,165/41,892 = 41,892/x
3. Step 3: Cross multiply
   19,165x = 41,892 × 41,892
4. Step 4: Simplify right side
   19,165x = 1,754,939,664
5. Step 5: Solve for x
   x = 1,754,939,664/19,165
6. Step 6: Final answer
   x = 91,570.03