Finding the Third Proportional to 41,561 and 89,077

Step by Step Solution

1. Step 1: Write the proportion equation
   41,561 : 89,077 = 89,077 : x
2. Step 2: Convert to fraction form
   41,561/89,077 = 89,077/x
3. Step 3: Cross multiply
   41,561x = 89,077 × 89,077
4. Step 4: Simplify right side
   41,561x = 7,934,711,929
5. Step 5: Solve for x
   x = 7,934,711,929/41,561
6. Step 6: Final answer
   x = 190,917.25