Finding the Third Proportional to 33,308 and 71,356

Step by Step Solution

1. Step 1: Write the proportion equation
   33,308 : 71,356 = 71,356 : x
2. Step 2: Convert to fraction form
   33,308/71,356 = 71,356/x
3. Step 3: Cross multiply
   33,308x = 71,356 × 71,356
4. Step 4: Simplify right side
   33,308x = 5,091,678,736
5. Step 5: Solve for x
   x = 5,091,678,736/33,308
6. Step 6: Final answer
   x = 152,866.54