Finding the Third Proportional to 31,758 and 46,686

Step by Step Solution

1. Step 1: Write the proportion equation
   31,758 : 46,686 = 46,686 : x
2. Step 2: Convert to fraction form
   31,758/46,686 = 46,686/x
3. Step 3: Cross multiply
   31,758x = 46,686 × 46,686
4. Step 4: Simplify right side
   31,758x = 2,179,582,596
5. Step 5: Solve for x
   x = 2,179,582,596/31,758
6. Step 6: Final answer
   x = 68,630.98