Finding the Third Proportional to 33,405 and 71,145

Step by Step Solution

1. Step 1: Write the proportion equation
   33,405 : 71,145 = 71,145 : x
2. Step 2: Convert to fraction form
   33,405/71,145 = 71,145/x
3. Step 3: Cross multiply
   33,405x = 71,145 × 71,145
4. Step 4: Simplify right side
   33,405x = 5,061,611,025
5. Step 5: Solve for x
   x = 5,061,611,025/33,405
6. Step 6: Final answer
   x = 151,522.56