Finding the Third Proportional to 33,239 and 71,697

Step by Step Solution

1. Step 1: Write the proportion equation
   33,239 : 71,697 = 71,697 : x
2. Step 2: Convert to fraction form
   33,239/71,697 = 71,697/x
3. Step 3: Cross multiply
   33,239x = 71,697 × 71,697
4. Step 4: Simplify right side
   33,239x = 5,140,459,809
5. Step 5: Solve for x
   x = 5,140,459,809/33,239
6. Step 6: Final answer
   x = 154,651.46