Finding the Third Proportional to 41,584 and 89,824

Step by Step Solution

1. Step 1: Write the proportion equation
   41,584 : 89,824 = 89,824 : x
2. Step 2: Convert to fraction form
   41,584/89,824 = 89,824/x
3. Step 3: Cross multiply
   41,584x = 89,824 × 89,824
4. Step 4: Simplify right side
   41,584x = 8,068,350,976
5. Step 5: Solve for x
   x = 8,068,350,976/41,584
6. Step 6: Final answer
   x = 194,025.37