Finding the Third Proportional to 33,214 and 49,856

Step by Step Solution

1. Step 1: Write the proportion equation
   33,214 : 49,856 = 49,856 : x
2. Step 2: Convert to fraction form
   33,214/49,856 = 49,856/x
3. Step 3: Cross multiply
   33,214x = 49,856 × 49,856
4. Step 4: Simplify right side
   33,214x = 2,485,620,736
5. Step 5: Solve for x
   x = 2,485,620,736/33,214
6. Step 6: Final answer
   x = 74,836.54