Finding the Third Proportional to 33,136 and 71,005

Step by Step Solution

1. Step 1: Write the proportion equation
   33,136 : 71,005 = 71,005 : x
2. Step 2: Convert to fraction form
   33,136/71,005 = 71,005/x
3. Step 3: Cross multiply
   33,136x = 71,005 × 71,005
4. Step 4: Simplify right side
   33,136x = 5,041,710,025
5. Step 5: Solve for x
   x = 5,041,710,025/33,136
6. Step 6: Final answer
   x = 152,152.04