Finding the Third Proportional to 33,492 and 69,162

Step by Step Solution

1. Step 1: Write the proportion equation
   33,492 : 69,162 = 69,162 : x
2. Step 2: Convert to fraction form
   33,492/69,162 = 69,162/x
3. Step 3: Cross multiply
   33,492x = 69,162 × 69,162
4. Step 4: Simplify right side
   33,492x = 4,783,382,244
5. Step 5: Solve for x
   x = 4,783,382,244/33,492
6. Step 6: Final answer
   x = 142,821.64