Finding the Third Proportional to 31,811 and 46,744

Step by Step Solution

1. Step 1: Write the proportion equation
   31,811 : 46,744 = 46,744 : x
2. Step 2: Convert to fraction form
   31,811/46,744 = 46,744/x
3. Step 3: Cross multiply
   31,811x = 46,744 × 46,744
4. Step 4: Simplify right side
   31,811x = 2,185,001,536
5. Step 5: Solve for x
   x = 2,185,001,536/31,811
6. Step 6: Final answer
   x = 68,686.98