Finding the Third Proportional to 31,751 and 47,470

Step by Step Solution

1. Step 1: Write the proportion equation
   31,751 : 47,470 = 47,470 : x
2. Step 2: Convert to fraction form
   31,751/47,470 = 47,470/x
3. Step 3: Cross multiply
   31,751x = 47,470 × 47,470
4. Step 4: Simplify right side
   31,751x = 2,253,400,900
5. Step 5: Solve for x
   x = 2,253,400,900/31,751
6. Step 6: Final answer
   x = 70,971.02