Finding the Third Proportional to 41,584 and 89,121

Step by Step Solution

1. Step 1: Write the proportion equation
   41,584 : 89,121 = 89,121 : x
2. Step 2: Convert to fraction form
   41,584/89,121 = 89,121/x
3. Step 3: Cross multiply
   41,584x = 89,121 × 89,121
4. Step 4: Simplify right side
   41,584x = 7,942,552,641
5. Step 5: Solve for x
   x = 7,942,552,641/41,584
6. Step 6: Final answer
   x = 191,000.21