Finding the Third Proportional to 31,144 and 47,040

Step by Step Solution

1. Step 1: Write the proportion equation
   31,144 : 47,040 = 47,040 : x
2. Step 2: Convert to fraction form
   31,144/47,040 = 47,040/x
3. Step 3: Cross multiply
   31,144x = 47,040 × 47,040
4. Step 4: Simplify right side
   31,144x = 2,212,761,600
5. Step 5: Solve for x
   x = 2,212,761,600/31,144
6. Step 6: Final answer
   x = 71,049.37