Finding the Third Proportional to 41,565 and 89,085

Step by Step Solution

1. Step 1: Write the proportion equation
   41,565 : 89,085 = 89,085 : x
2. Step 2: Convert to fraction form
   41,565/89,085 = 89,085/x
3. Step 3: Cross multiply
   41,565x = 89,085 × 89,085
4. Step 4: Simplify right side
   41,565x = 7,936,137,225
5. Step 5: Solve for x
   x = 7,936,137,225/41,565
6. Step 6: Final answer
   x = 190,933.17