Finding the Third Proportional to 41,589 and 58,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,589 : 58,204.50 = 58,204.50 : x
2. Step 2: Convert to fraction form
   41,589/58,204.50 = 58,204.50/x
3. Step 3: Cross multiply
   41,589x = 58,204.50 × 58,204.50
4. Step 4: Simplify right side
   41,589x = 3,387,763,820.25
5. Step 5: Solve for x
   x = 3,387,763,820.25/41,589
6. Step 6: Final answer
   x = 81,458.17