Finding the Third Proportional to 41,769 and 89,469

Step by Step Solution

1. Step 1: Write the proportion equation
   41,769 : 89,469 = 89,469 : x
2. Step 2: Convert to fraction form
   41,769/89,469 = 89,469/x
3. Step 3: Cross multiply
   41,769x = 89,469 × 89,469
4. Step 4: Simplify right side
   41,769x = 8,004,701,961
5. Step 5: Solve for x
   x = 8,004,701,961/41,769
6. Step 6: Final answer
   x = 191,642.17