Finding the Third Proportional to 33,935.50 and 71,701

Step by Step Solution

1. Step 1: Write the proportion equation
   33,935.50 : 71,701 = 71,701 : x
2. Step 2: Convert to fraction form
   33,935.50/71,701 = 71,701/x
3. Step 3: Cross multiply
   33,935.50x = 71,701 × 71,701
4. Step 4: Simplify right side
   33,935.50x = 5,141,033,401
5. Step 5: Solve for x
   x = 5,141,033,401/33,935.50
6. Step 6: Final answer
   x = 151,494.26