Finding the Third Proportional to 33,916 and 73,669

Step by Step Solution

1. Step 1: Write the proportion equation
   33,916 : 73,669 = 73,669 : x
2. Step 2: Convert to fraction form
   33,916/73,669 = 73,669/x
3. Step 3: Cross multiply
   33,916x = 73,669 × 73,669
4. Step 4: Simplify right side
   33,916x = 5,427,121,561
5. Step 5: Solve for x
   x = 5,427,121,561/33,916
6. Step 6: Final answer
   x = 160,016.56