Finding the Third Proportional to 33,741 and 72,666

Step by Step Solution

1. Step 1: Write the proportion equation
   33,741 : 72,666 = 72,666 : x
2. Step 2: Convert to fraction form
   33,741/72,666 = 72,666/x
3. Step 3: Cross multiply
   33,741x = 72,666 × 72,666
4. Step 4: Simplify right side
   33,741x = 5,280,347,556
5. Step 5: Solve for x
   x = 5,280,347,556/33,741
6. Step 6: Final answer
   x = 156,496.47