Finding the Third Proportional to 33,538 and 49,118

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538 : 49,118 = 49,118 : x
2. Step 2: Convert to fraction form
   33,538/49,118 = 49,118/x
3. Step 3: Cross multiply
   33,538x = 49,118 × 49,118
4. Step 4: Simplify right side
   33,538x = 2,412,577,924
5. Step 5: Solve for x
   x = 2,412,577,924/33,538
6. Step 6: Final answer
   x = 71,935.65