Finding the Third Proportional to 33,537 and 71,071

Step by Step Solution

1. Step 1: Write the proportion equation
   33,537 : 71,071 = 71,071 : x
2. Step 2: Convert to fraction form
   33,537/71,071 = 71,071/x
3. Step 3: Cross multiply
   33,537x = 71,071 × 71,071
4. Step 4: Simplify right side
   33,537x = 5,051,087,041
5. Step 5: Solve for x
   x = 5,051,087,041/33,537
6. Step 6: Final answer
   x = 150,612.37