Finding the Third Proportional to 33,311.50 and 69,701

Step by Step Solution

1. Step 1: Write the proportion equation
   33,311.50 : 69,701 = 69,701 : x
2. Step 2: Convert to fraction form
   33,311.50/69,701 = 69,701/x
3. Step 3: Cross multiply
   33,311.50x = 69,701 × 69,701
4. Step 4: Simplify right side
   33,311.50x = 4,858,229,401
5. Step 5: Solve for x
   x = 4,858,229,401/33,311.50
6. Step 6: Final answer
   x = 145,842.41