Finding the Third Proportional to 30,664 and 42,227

Step by Step Solution

1. Step 1: Write the proportion equation
   30,664 : 42,227 = 42,227 : x
2. Step 2: Convert to fraction form
   30,664/42,227 = 42,227/x
3. Step 3: Cross multiply
   30,664x = 42,227 × 42,227
4. Step 4: Simplify right side
   30,664x = 1,783,119,529
5. Step 5: Solve for x
   x = 1,783,119,529/30,664
6. Step 6: Final answer
   x = 58,150.26