Finding the Third Proportional to 41,821 and 89,365

Step by Step Solution

1. Step 1: Write the proportion equation
   41,821 : 89,365 = 89,365 : x
2. Step 2: Convert to fraction form
   41,821/89,365 = 89,365/x
3. Step 3: Cross multiply
   41,821x = 89,365 × 89,365
4. Step 4: Simplify right side
   41,821x = 7,986,103,225
5. Step 5: Solve for x
   x = 7,986,103,225/41,821
6. Step 6: Final answer
   x = 190,959.16