Finding the Third Proportional to 33,136 and 71,554

Step by Step Solution

1. Step 1: Write the proportion equation
   33,136 : 71,554 = 71,554 : x
2. Step 2: Convert to fraction form
   33,136/71,554 = 71,554/x
3. Step 3: Cross multiply
   33,136x = 71,554 × 71,554
4. Step 4: Simplify right side
   33,136x = 5,119,974,916
5. Step 5: Solve for x
   x = 5,119,974,916/33,136
6. Step 6: Final answer
   x = 154,513.97