Finding the Third Proportional to 31,586 and 46,227

Step by Step Solution

1. Step 1: Write the proportion equation
   31,586 : 46,227 = 46,227 : x
2. Step 2: Convert to fraction form
   31,586/46,227 = 46,227/x
3. Step 3: Cross multiply
   31,586x = 46,227 × 46,227
4. Step 4: Simplify right side
   31,586x = 2,136,935,529
5. Step 5: Solve for x
   x = 2,136,935,529/31,586
6. Step 6: Final answer
   x = 67,654.52