Finding the Third Proportional to 33,714 and 73,656

Step by Step Solution

1. Step 1: Write the proportion equation
   33,714 : 73,656 = 73,656 : x
2. Step 2: Convert to fraction form
   33,714/73,656 = 73,656/x
3. Step 3: Cross multiply
   33,714x = 73,656 × 73,656
4. Step 4: Simplify right side
   33,714x = 5,425,206,336
5. Step 5: Solve for x
   x = 5,425,206,336/33,714
6. Step 6: Final answer
   x = 160,918.50