Finding the Third Proportional to 31,869 and 49,176

Step by Step Solution

1. Step 1: Write the proportion equation
   31,869 : 49,176 = 49,176 : x
2. Step 2: Convert to fraction form
   31,869/49,176 = 49,176/x
3. Step 3: Cross multiply
   31,869x = 49,176 × 49,176
4. Step 4: Simplify right side
   31,869x = 2,418,278,976
5. Step 5: Solve for x
   x = 2,418,278,976/31,869
6. Step 6: Final answer
   x = 75,881.86