Finding the Third Proportional to 31,760 and 47,616

Step by Step Solution

1. Step 1: Write the proportion equation
   31,760 : 47,616 = 47,616 : x
2. Step 2: Convert to fraction form
   31,760/47,616 = 47,616/x
3. Step 3: Cross multiply
   31,760x = 47,616 × 47,616
4. Step 4: Simplify right side
   31,760x = 2,267,283,456
5. Step 5: Solve for x
   x = 2,267,283,456/31,760
6. Step 6: Final answer
   x = 71,388.02