Finding the Third Proportional to 31,468 and 48,616

Step by Step Solution

1. Step 1: Write the proportion equation
   31,468 : 48,616 = 48,616 : x
2. Step 2: Convert to fraction form
   31,468/48,616 = 48,616/x
3. Step 3: Cross multiply
   31,468x = 48,616 × 48,616
4. Step 4: Simplify right side
   31,468x = 2,363,515,456
5. Step 5: Solve for x
   x = 2,363,515,456/31,468
6. Step 6: Final answer
   x = 75,108.54