Finding the Third Proportional to 41,575 and 89,057

Step by Step Solution

1. Step 1: Write the proportion equation
   41,575 : 89,057 = 89,057 : x
2. Step 2: Convert to fraction form
   41,575/89,057 = 89,057/x
3. Step 3: Cross multiply
   41,575x = 89,057 × 89,057
4. Step 4: Simplify right side
   41,575x = 7,931,149,249
5. Step 5: Solve for x
   x = 7,931,149,249/41,575
6. Step 6: Final answer
   x = 190,767.27