Finding the Third Proportional to 25,456 and 54,584

Step by Step Solution

1. Step 1: Write the proportion equation
   25,456 : 54,584 = 54,584 : x
2. Step 2: Convert to fraction form
   25,456/54,584 = 54,584/x
3. Step 3: Cross multiply
   25,456x = 54,584 × 54,584
4. Step 4: Simplify right side
   25,456x = 2,979,413,056
5. Step 5: Solve for x
   x = 2,979,413,056/25,456
6. Step 6: Final answer
   x = 117,041.68