Finding the Third Proportional to 33,192 and 71,666

Step by Step Solution

1. Step 1: Write the proportion equation
   33,192 : 71,666 = 71,666 : x
2. Step 2: Convert to fraction form
   33,192/71,666 = 71,666/x
3. Step 3: Cross multiply
   33,192x = 71,666 × 71,666
4. Step 4: Simplify right side
   33,192x = 5,136,015,556
5. Step 5: Solve for x
   x = 5,136,015,556/33,192
6. Step 6: Final answer
   x = 154,736.55