Finding the Third Proportional to 37,951 and 54,661

Step by Step Solution

1. Step 1: Write the proportion equation
   37,951 : 54,661 = 54,661 : x
2. Step 2: Convert to fraction form
   37,951/54,661 = 54,661/x
3. Step 3: Cross multiply
   37,951x = 54,661 × 54,661
4. Step 4: Simplify right side
   37,951x = 2,987,824,921
5. Step 5: Solve for x
   x = 2,987,824,921/37,951
6. Step 6: Final answer
   x = 78,728.49