Finding the Third Proportional to 37,661 and 49,981

Step by Step Solution

1. Step 1: Write the proportion equation
   37,661 : 49,981 = 49,981 : x
2. Step 2: Convert to fraction form
   37,661/49,981 = 49,981/x
3. Step 3: Cross multiply
   37,661x = 49,981 × 49,981
4. Step 4: Simplify right side
   37,661x = 2,498,100,361
5. Step 5: Solve for x
   x = 2,498,100,361/37,661
6. Step 6: Final answer
   x = 66,331.23