Finding the Third Proportional to 33,767 and 71,695

Step by Step Solution

1. Step 1: Write the proportion equation
   33,767 : 71,695 = 71,695 : x
2. Step 2: Convert to fraction form
   33,767/71,695 = 71,695/x
3. Step 3: Cross multiply
   33,767x = 71,695 × 71,695
4. Step 4: Simplify right side
   33,767x = 5,140,173,025
5. Step 5: Solve for x
   x = 5,140,173,025/33,767
6. Step 6: Final answer
   x = 152,224.75