Finding the Third Proportional to 31,758 and 46,647

Step by Step Solution

1. Step 1: Write the proportion equation
   31,758 : 46,647 = 46,647 : x
2. Step 2: Convert to fraction form
   31,758/46,647 = 46,647/x
3. Step 3: Cross multiply
   31,758x = 46,647 × 46,647
4. Step 4: Simplify right side
   31,758x = 2,175,942,609
5. Step 5: Solve for x
   x = 2,175,942,609/31,758
6. Step 6: Final answer
   x = 68,516.36