Finding the Third Proportional to 30,508 and 71,272

Step by Step Solution

1. Step 1: Write the proportion equation
   30,508 : 71,272 = 71,272 : x
2. Step 2: Convert to fraction form
   30,508/71,272 = 71,272/x
3. Step 3: Cross multiply
   30,508x = 71,272 × 71,272
4. Step 4: Simplify right side
   30,508x = 5,079,697,984
5. Step 5: Solve for x
   x = 5,079,697,984/30,508
6. Step 6: Final answer
   x = 166,503.80