Finding the Third Proportional to 33,178 and 49,830

Step by Step Solution

1. Step 1: Write the proportion equation
   33,178 : 49,830 = 49,830 : x
2. Step 2: Convert to fraction form
   33,178/49,830 = 49,830/x
3. Step 3: Cross multiply
   33,178x = 49,830 × 49,830
4. Step 4: Simplify right side
   33,178x = 2,483,028,900
5. Step 5: Solve for x
   x = 2,483,028,900/33,178
6. Step 6: Final answer
   x = 74,839.62