Finding the Third Proportional to 33,008 and 71,277

Step by Step Solution

1. Step 1: Write the proportion equation
   33,008 : 71,277 = 71,277 : x
2. Step 2: Convert to fraction form
   33,008/71,277 = 71,277/x
3. Step 3: Cross multiply
   33,008x = 71,277 × 71,277
4. Step 4: Simplify right side
   33,008x = 5,080,410,729
5. Step 5: Solve for x
   x = 5,080,410,729/33,008
6. Step 6: Final answer
   x = 153,914.53