Finding the Third Proportional to 31,648 and 49,390

Step by Step Solution

1. Step 1: Write the proportion equation
   31,648 : 49,390 = 49,390 : x
2. Step 2: Convert to fraction form
   31,648/49,390 = 49,390/x
3. Step 3: Cross multiply
   31,648x = 49,390 × 49,390
4. Step 4: Simplify right side
   31,648x = 2,439,372,100
5. Step 5: Solve for x
   x = 2,439,372,100/31,648
6. Step 6: Final answer
   x = 77,078.24