Finding the Third Proportional to 41,567 and 89,089

Step by Step Solution

1. Step 1: Write the proportion equation
   41,567 : 89,089 = 89,089 : x
2. Step 2: Convert to fraction form
   41,567/89,089 = 89,089/x
3. Step 3: Cross multiply
   41,567x = 89,089 × 89,089
4. Step 4: Simplify right side
   41,567x = 7,936,849,921
5. Step 5: Solve for x
   x = 7,936,849,921/41,567
6. Step 6: Final answer
   x = 190,941.13