Finding the Third Proportional to 11,978 and 25,468

Step by Step Solution

1. Step 1: Write the proportion equation
   11,978 : 25,468 = 25,468 : x
2. Step 2: Convert to fraction form
   11,978/25,468 = 25,468/x
3. Step 3: Cross multiply
   11,978x = 25,468 × 25,468
4. Step 4: Simplify right side
   11,978x = 648,619,024
5. Step 5: Solve for x
   x = 648,619,024/11,978
6. Step 6: Final answer
   x = 54,150.86