Finding the Third Proportional to 41,583 and 89,994

Step by Step Solution

1. Step 1: Write the proportion equation
   41,583 : 89,994 = 89,994 : x
2. Step 2: Convert to fraction form
   41,583/89,994 = 89,994/x
3. Step 3: Cross multiply
   41,583x = 89,994 × 89,994
4. Step 4: Simplify right side
   41,583x = 8,098,920,036
5. Step 5: Solve for x
   x = 8,098,920,036/41,583
6. Step 6: Final answer
   x = 194,765.17