Finding the Third Proportional to 12,978 and 25,306

Step by Step Solution

1. Step 1: Write the proportion equation
   12,978 : 25,306 = 25,306 : x
2. Step 2: Convert to fraction form
   12,978/25,306 = 25,306/x
3. Step 3: Cross multiply
   12,978x = 25,306 × 25,306
4. Step 4: Simplify right side
   12,978x = 640,393,636
5. Step 5: Solve for x
   x = 640,393,636/12,978
6. Step 6: Final answer
   x = 49,344.56