Finding the Third Proportional to 19,009 and 41,834

Step by Step Solution

1. Step 1: Write the proportion equation
   19,009 : 41,834 = 41,834 : x
2. Step 2: Convert to fraction form
   19,009/41,834 = 41,834/x
3. Step 3: Cross multiply
   19,009x = 41,834 × 41,834
4. Step 4: Simplify right side
   19,009x = 1,750,083,556
5. Step 5: Solve for x
   x = 1,750,083,556/19,009
6. Step 6: Final answer
   x = 92,066.05