Finding the Third Proportional to 41,415 and 58,546

Step by Step Solution

1. Step 1: Write the proportion equation
   41,415 : 58,546 = 58,546 : x
2. Step 2: Convert to fraction form
   41,415/58,546 = 58,546/x
3. Step 3: Cross multiply
   41,415x = 58,546 × 58,546
4. Step 4: Simplify right side
   41,415x = 3,427,634,116
5. Step 5: Solve for x
   x = 3,427,634,116/41,415
6. Step 6: Final answer
   x = 82,763.11