Finding the Third Proportional to 33,539 and 71,072

Step by Step Solution

1. Step 1: Write the proportion equation
   33,539 : 71,072 = 71,072 : x
2. Step 2: Convert to fraction form
   33,539/71,072 = 71,072/x
3. Step 3: Cross multiply
   33,539x = 71,072 × 71,072
4. Step 4: Simplify right side
   33,539x = 5,051,229,184
5. Step 5: Solve for x
   x = 5,051,229,184/33,539
6. Step 6: Final answer
   x = 150,607.63