Finding the Third Proportional to 33,482 and 69,742

Step by Step Solution

1. Step 1: Write the proportion equation
   33,482 : 69,742 = 69,742 : x
2. Step 2: Convert to fraction form
   33,482/69,742 = 69,742/x
3. Step 3: Cross multiply
   33,482x = 69,742 × 69,742
4. Step 4: Simplify right side
   33,482x = 4,863,946,564
5. Step 5: Solve for x
   x = 4,863,946,564/33,482
6. Step 6: Final answer
   x = 145,270.49