Finding the Third Proportional to 33,738 and 49,380

Step by Step Solution

1. Step 1: Write the proportion equation
   33,738 : 49,380 = 49,380 : x
2. Step 2: Convert to fraction form
   33,738/49,380 = 49,380/x
3. Step 3: Cross multiply
   33,738x = 49,380 × 49,380
4. Step 4: Simplify right side
   33,738x = 2,438,384,400
5. Step 5: Solve for x
   x = 2,438,384,400/33,738
6. Step 6: Final answer
   x = 72,274.12