Finding the Third Proportional to 41,136 and 89,640

Step by Step Solution

1. Step 1: Write the proportion equation
   41,136 : 89,640 = 89,640 : x
2. Step 2: Convert to fraction form
   41,136/89,640 = 89,640/x
3. Step 3: Cross multiply
   41,136x = 89,640 × 89,640
4. Step 4: Simplify right side
   41,136x = 8,035,329,600
5. Step 5: Solve for x
   x = 8,035,329,600/41,136
6. Step 6: Final answer
   x = 195,335.71