Finding the Third Proportional to 31,806 and 46,734

Step by Step Solution

1. Step 1: Write the proportion equation
   31,806 : 46,734 = 46,734 : x
2. Step 2: Convert to fraction form
   31,806/46,734 = 46,734/x
3. Step 3: Cross multiply
   31,806x = 46,734 × 46,734
4. Step 4: Simplify right side
   31,806x = 2,184,066,756
5. Step 5: Solve for x
   x = 2,184,066,756/31,806
6. Step 6: Final answer
   x = 68,668.39