Finding the Third Proportional to 33,062 and 71,740

Step by Step Solution

1. Step 1: Write the proportion equation
   33,062 : 71,740 = 71,740 : x
2. Step 2: Convert to fraction form
   33,062/71,740 = 71,740/x
3. Step 3: Cross multiply
   33,062x = 71,740 × 71,740
4. Step 4: Simplify right side
   33,062x = 5,146,627,600
5. Step 5: Solve for x
   x = 5,146,627,600/33,062
6. Step 6: Final answer
   x = 155,665.95