Finding the Third Proportional to 33,400 and 49,996

Step by Step Solution

1. Step 1: Write the proportion equation
   33,400 : 49,996 = 49,996 : x
2. Step 2: Convert to fraction form
   33,400/49,996 = 49,996/x
3. Step 3: Cross multiply
   33,400x = 49,996 × 49,996
4. Step 4: Simplify right side
   33,400x = 2,499,600,016
5. Step 5: Solve for x
   x = 2,499,600,016/33,400
6. Step 6: Final answer
   x = 74,838.32