Finding the Third Proportional to 25,897 and 54,584

Step by Step Solution

1. Step 1: Write the proportion equation
   25,897 : 54,584 = 54,584 : x
2. Step 2: Convert to fraction form
   25,897/54,584 = 54,584/x
3. Step 3: Cross multiply
   25,897x = 54,584 × 54,584
4. Step 4: Simplify right side
   25,897x = 2,979,413,056
5. Step 5: Solve for x
   x = 2,979,413,056/25,897
6. Step 6: Final answer
   x = 115,048.58