Finding the Third Proportional to 17,767 and 41,136

Step by Step Solution

1. Step 1: Write the proportion equation
   17,767 : 41,136 = 41,136 : x
2. Step 2: Convert to fraction form
   17,767/41,136 = 41,136/x
3. Step 3: Cross multiply
   17,767x = 41,136 × 41,136
4. Step 4: Simplify right side
   17,767x = 1,692,170,496
5. Step 5: Solve for x
   x = 1,692,170,496/17,767
6. Step 6: Final answer
   x = 95,242.33