Finding the Third Proportional to 41,500 and 89,049

Step by Step Solution

1. Step 1: Write the proportion equation
   41,500 : 89,049 = 89,049 : x
2. Step 2: Convert to fraction form
   41,500/89,049 = 89,049/x
3. Step 3: Cross multiply
   41,500x = 89,049 × 89,049
4. Step 4: Simplify right side
   41,500x = 7,929,724,401
5. Step 5: Solve for x
   x = 7,929,724,401/41,500
6. Step 6: Final answer
   x = 191,077.70