Finding the Third Proportional to 33,933 and 76,206

Step by Step Solution

1. Step 1: Write the proportion equation
   33,933 : 76,206 = 76,206 : x
2. Step 2: Convert to fraction form
   33,933/76,206 = 76,206/x
3. Step 3: Cross multiply
   33,933x = 76,206 × 76,206
4. Step 4: Simplify right side
   33,933x = 5,807,354,436
5. Step 5: Solve for x
   x = 5,807,354,436/33,933
6. Step 6: Final answer
   x = 171,141.79