Finding the Third Proportional to 33,179 and 72,830

Step by Step Solution

1. Step 1: Write the proportion equation
   33,179 : 72,830 = 72,830 : x
2. Step 2: Convert to fraction form
   33,179/72,830 = 72,830/x
3. Step 3: Cross multiply
   33,179x = 72,830 × 72,830
4. Step 4: Simplify right side
   33,179x = 5,304,208,900
5. Step 5: Solve for x
   x = 5,304,208,900/33,179
6. Step 6: Final answer
   x = 159,866.45