Finding the Third Proportional to 31,813 and 46,747

Step by Step Solution

1. Step 1: Write the proportion equation
   31,813 : 46,747 = 46,747 : x
2. Step 2: Convert to fraction form
   31,813/46,747 = 46,747/x
3. Step 3: Cross multiply
   31,813x = 46,747 × 46,747
4. Step 4: Simplify right side
   31,813x = 2,185,282,009
5. Step 5: Solve for x
   x = 2,185,282,009/31,813
6. Step 6: Final answer
   x = 68,691.48