Finding the Third Proportional to 13,978 and 19,569

Step by Step Solution

1. Step 1: Write the proportion equation
   13,978 : 19,569 = 19,569 : x
2. Step 2: Convert to fraction form
   13,978/19,569 = 19,569/x
3. Step 3: Cross multiply
   13,978x = 19,569 × 19,569
4. Step 4: Simplify right side
   13,978x = 382,945,761
5. Step 5: Solve for x
   x = 382,945,761/13,978
6. Step 6: Final answer
   x = 27,396.32