Finding the Third Proportional to 25,997 and 56,314

Step by Step Solution

1. Step 1: Write the proportion equation
   25,997 : 56,314 = 56,314 : x
2. Step 2: Convert to fraction form
   25,997/56,314 = 56,314/x
3. Step 3: Cross multiply
   25,997x = 56,314 × 56,314
4. Step 4: Simplify right side
   25,997x = 3,171,266,596
5. Step 5: Solve for x
   x = 3,171,266,596/25,997
6. Step 6: Final answer
   x = 121,985.87