Finding the Third Proportional to 31,280 and 39,648

Step by Step Solution

1. Step 1: Write the proportion equation
   31,280 : 39,648 = 39,648 : x
2. Step 2: Convert to fraction form
   31,280/39,648 = 39,648/x
3. Step 3: Cross multiply
   31,280x = 39,648 × 39,648
4. Step 4: Simplify right side
   31,280x = 1,571,963,904
5. Step 5: Solve for x
   x = 1,571,963,904/31,280
6. Step 6: Final answer
   x = 50,254.60