Finding the Third Proportional to 33,540 and 78,330

Step by Step Solution

1. Step 1: Write the proportion equation
   33,540 : 78,330 = 78,330 : x
2. Step 2: Convert to fraction form
   33,540/78,330 = 78,330/x
3. Step 3: Cross multiply
   33,540x = 78,330 × 78,330
4. Step 4: Simplify right side
   33,540x = 6,135,588,900
5. Step 5: Solve for x
   x = 6,135,588,900/33,540
6. Step 6: Final answer
   x = 182,933.48