Finding the Third Proportional to 25,978 and 55,930

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978 : 55,930 = 55,930 : x
2. Step 2: Convert to fraction form
   25,978/55,930 = 55,930/x
3. Step 3: Cross multiply
   25,978x = 55,930 × 55,930
4. Step 4: Simplify right side
   25,978x = 3,128,164,900
5. Step 5: Solve for x
   x = 3,128,164,900/25,978
6. Step 6: Final answer
   x = 120,415.93