Finding the Third Proportional to 41,736 and 89,406

Step by Step Solution

1. Step 1: Write the proportion equation
   41,736 : 89,406 = 89,406 : x
2. Step 2: Convert to fraction form
   41,736/89,406 = 89,406/x
3. Step 3: Cross multiply
   41,736x = 89,406 × 89,406
4. Step 4: Simplify right side
   41,736x = 7,993,432,836
5. Step 5: Solve for x
   x = 7,993,432,836/41,736
6. Step 6: Final answer
   x = 191,523.69