Finding the Third Proportional to 41,780 and 58,557

Step by Step Solution

1. Step 1: Write the proportion equation
   41,780 : 58,557 = 58,557 : x
2. Step 2: Convert to fraction form
   41,780/58,557 = 58,557/x
3. Step 3: Cross multiply
   41,780x = 58,557 × 58,557
4. Step 4: Simplify right side
   41,780x = 3,428,922,249
5. Step 5: Solve for x
   x = 3,428,922,249/41,780
6. Step 6: Final answer
   x = 82,070.90