Finding the Third Proportional to 31,104 and 39,384

Step by Step Solution

1. Step 1: Write the proportion equation
   31,104 : 39,384 = 39,384 : x
2. Step 2: Convert to fraction form
   31,104/39,384 = 39,384/x
3. Step 3: Cross multiply
   31,104x = 39,384 × 39,384
4. Step 4: Simplify right side
   31,104x = 1,551,099,456
5. Step 5: Solve for x
   x = 1,551,099,456/31,104
6. Step 6: Final answer
   x = 49,868.17