Finding the Third Proportional to 31,462 and 47,022

Step by Step Solution

1. Step 1: Write the proportion equation
   31,462 : 47,022 = 47,022 : x
2. Step 2: Convert to fraction form
   31,462/47,022 = 47,022/x
3. Step 3: Cross multiply
   31,462x = 47,022 × 47,022
4. Step 4: Simplify right side
   31,462x = 2,211,068,484
5. Step 5: Solve for x
   x = 2,211,068,484/31,462
6. Step 6: Final answer
   x = 70,277.43