Finding the Third Proportional to 33,482 and 69,142

Step by Step Solution

1. Step 1: Write the proportion equation
   33,482 : 69,142 = 69,142 : x
2. Step 2: Convert to fraction form
   33,482/69,142 = 69,142/x
3. Step 3: Cross multiply
   33,482x = 69,142 × 69,142
4. Step 4: Simplify right side
   33,482x = 4,780,616,164
5. Step 5: Solve for x
   x = 4,780,616,164/33,482
6. Step 6: Final answer
   x = 142,781.68