Finding the Third Proportional to 33,586 and 73,796

Step by Step Solution

1. Step 1: Write the proportion equation
   33,586 : 73,796 = 73,796 : x
2. Step 2: Convert to fraction form
   33,586/73,796 = 73,796/x
3. Step 3: Cross multiply
   33,586x = 73,796 × 73,796
4. Step 4: Simplify right side
   33,586x = 5,445,849,616
5. Step 5: Solve for x
   x = 5,445,849,616/33,586
6. Step 6: Final answer
   x = 162,146.42