Finding the Third Proportional to 31,747 and 46,636

Step by Step Solution

1. Step 1: Write the proportion equation
   31,747 : 46,636 = 46,636 : x
2. Step 2: Convert to fraction form
   31,747/46,636 = 46,636/x
3. Step 3: Cross multiply
   31,747x = 46,636 × 46,636
4. Step 4: Simplify right side
   31,747x = 2,174,916,496
5. Step 5: Solve for x
   x = 2,174,916,496/31,747
6. Step 6: Final answer
   x = 68,507.78