Finding the Third Proportional to 33,138 and 49,059

Step by Step Solution

1. Step 1: Write the proportion equation
   33,138 : 49,059 = 49,059 : x
2. Step 2: Convert to fraction form
   33,138/49,059 = 49,059/x
3. Step 3: Cross multiply
   33,138x = 49,059 × 49,059
4. Step 4: Simplify right side
   33,138x = 2,406,785,481
5. Step 5: Solve for x
   x = 2,406,785,481/33,138
6. Step 6: Final answer
   x = 72,629.17