Finding the Third Proportional to 41,809.50 and 89,289

Step by Step Solution

1. Step 1: Write the proportion equation
   41,809.50 : 89,289 = 89,289 : x
2. Step 2: Convert to fraction form
   41,809.50/89,289 = 89,289/x
3. Step 3: Cross multiply
   41,809.50x = 89,289 × 89,289
4. Step 4: Simplify right side
   41,809.50x = 7,972,525,521
5. Step 5: Solve for x
   x = 7,972,525,521/41,809.50
6. Step 6: Final answer
   x = 190,686.94