Finding the Third Proportional to 19,509 and 41,981

Step by Step Solution

1. Step 1: Write the proportion equation
   19,509 : 41,981 = 41,981 : x
2. Step 2: Convert to fraction form
   19,509/41,981 = 41,981/x
3. Step 3: Cross multiply
   19,509x = 41,981 × 41,981
4. Step 4: Simplify right side
   19,509x = 1,762,404,361
5. Step 5: Solve for x
   x = 1,762,404,361/19,509
6. Step 6: Final answer
   x = 90,338.02