Finding the Third Proportional to 41,589 and 91,152

Step by Step Solution

1. Step 1: Write the proportion equation
   41,589 : 91,152 = 91,152 : x
2. Step 2: Convert to fraction form
   41,589/91,152 = 91,152/x
3. Step 3: Cross multiply
   41,589x = 91,152 × 91,152
4. Step 4: Simplify right side
   41,589x = 8,308,687,104
5. Step 5: Solve for x
   x = 8,308,687,104/41,589
6. Step 6: Final answer
   x = 199,780.88