Finding the Third Proportional to 33,144 and 71,196

Step by Step Solution

1. Step 1: Write the proportion equation
   33,144 : 71,196 = 71,196 : x
2. Step 2: Convert to fraction form
   33,144/71,196 = 71,196/x
3. Step 3: Cross multiply
   33,144x = 71,196 × 71,196
4. Step 4: Simplify right side
   33,144x = 5,068,870,416
5. Step 5: Solve for x
   x = 5,068,870,416/33,144
6. Step 6: Final answer
   x = 152,934.78