Finding the Third Proportional to 33,929 and 71,686

Step by Step Solution

1. Step 1: Write the proportion equation
   33,929 : 71,686 = 71,686 : x
2. Step 2: Convert to fraction form
   33,929/71,686 = 71,686/x
3. Step 3: Cross multiply
   33,929x = 71,686 × 71,686
4. Step 4: Simplify right side
   33,929x = 5,138,882,596
5. Step 5: Solve for x
   x = 5,138,882,596/33,929
6. Step 6: Final answer
   x = 151,459.89