Finding the Third Proportional to 31,674 and 47,570

Step by Step Solution

1. Step 1: Write the proportion equation
   31,674 : 47,570 = 47,570 : x
2. Step 2: Convert to fraction form
   31,674/47,570 = 47,570/x
3. Step 3: Cross multiply
   31,674x = 47,570 × 47,570
4. Step 4: Simplify right side
   31,674x = 2,262,904,900
5. Step 5: Solve for x
   x = 2,262,904,900/31,674
6. Step 6: Final answer
   x = 71,443.61