Finding the Third Proportional to 33,186 and 72,933

Step by Step Solution

1. Step 1: Write the proportion equation
   33,186 : 72,933 = 72,933 : x
2. Step 2: Convert to fraction form
   33,186/72,933 = 72,933/x
3. Step 3: Cross multiply
   33,186x = 72,933 × 72,933
4. Step 4: Simplify right side
   33,186x = 5,319,222,489
5. Step 5: Solve for x
   x = 5,319,222,489/33,186
6. Step 6: Final answer
   x = 160,285.13