Finding the Third Proportional to 25,978 and 56,896

Step by Step Solution

1. Step 1: Write the proportion equation
   25,978 : 56,896 = 56,896 : x
2. Step 2: Convert to fraction form
   25,978/56,896 = 56,896/x
3. Step 3: Cross multiply
   25,978x = 56,896 × 56,896
4. Step 4: Simplify right side
   25,978x = 3,237,154,816
5. Step 5: Solve for x
   x = 3,237,154,816/25,978
6. Step 6: Final answer
   x = 124,611.39