Finding the Third Proportional to 26,978 and 42,227

Step by Step Solution

1. Step 1: Write the proportion equation
   26,978 : 42,227 = 42,227 : x
2. Step 2: Convert to fraction form
   26,978/42,227 = 42,227/x
3. Step 3: Cross multiply
   26,978x = 42,227 × 42,227
4. Step 4: Simplify right side
   26,978x = 1,783,119,529
5. Step 5: Solve for x
   x = 1,783,119,529/26,978
6. Step 6: Final answer
   x = 66,095.32