Finding the Third Proportional to 33,680 and 73,260

Step by Step Solution

1. Step 1: Write the proportion equation
   33,680 : 73,260 = 73,260 : x
2. Step 2: Convert to fraction form
   33,680/73,260 = 73,260/x
3. Step 3: Cross multiply
   33,680x = 73,260 × 73,260
4. Step 4: Simplify right side
   33,680x = 5,367,027,600
5. Step 5: Solve for x
   x = 5,367,027,600/33,680
6. Step 6: Final answer
   x = 159,353.55