Finding the Third Proportional to 37,771 and 55,557

Step by Step Solution

1. Step 1: Write the proportion equation
   37,771 : 55,557 = 55,557 : x
2. Step 2: Convert to fraction form
   37,771/55,557 = 55,557/x
3. Step 3: Cross multiply
   37,771x = 55,557 × 55,557
4. Step 4: Simplify right side
   37,771x = 3,086,580,249
5. Step 5: Solve for x
   x = 3,086,580,249/37,771
6. Step 6: Final answer
   x = 81,718.26