Finding the Third Proportional to 41,586 and 89,828

Step by Step Solution

1. Step 1: Write the proportion equation
   41,586 : 89,828 = 89,828 : x
2. Step 2: Convert to fraction form
   41,586/89,828 = 89,828/x
3. Step 3: Cross multiply
   41,586x = 89,828 × 89,828
4. Step 4: Simplify right side
   41,586x = 8,069,069,584
5. Step 5: Solve for x
   x = 8,069,069,584/41,586
6. Step 6: Final answer
   x = 194,033.32