Finding the Third Proportional to 25,839 and 56,916

Step by Step Solution

1. Step 1: Write the proportion equation
   25,839 : 56,916 = 56,916 : x
2. Step 2: Convert to fraction form
   25,839/56,916 = 56,916/x
3. Step 3: Cross multiply
   25,839x = 56,916 × 56,916
4. Step 4: Simplify right side
   25,839x = 3,239,431,056
5. Step 5: Solve for x
   x = 3,239,431,056/25,839
6. Step 6: Final answer
   x = 125,369.83