Finding the Third Proportional to 25,989 and 55,078

Step by Step Solution

1. Step 1: Write the proportion equation
   25,989 : 55,078 = 55,078 : x
2. Step 2: Convert to fraction form
   25,989/55,078 = 55,078/x
3. Step 3: Cross multiply
   25,989x = 55,078 × 55,078
4. Step 4: Simplify right side
   25,989x = 3,033,586,084
5. Step 5: Solve for x
   x = 3,033,586,084/25,989
6. Step 6: Final answer
   x = 116,725.77