Finding the Third Proportional to 25,536 and 54,960

Step by Step Solution

1. Step 1: Write the proportion equation
   25,536 : 54,960 = 54,960 : x
2. Step 2: Convert to fraction form
   25,536/54,960 = 54,960/x
3. Step 3: Cross multiply
   25,536x = 54,960 × 54,960
4. Step 4: Simplify right side
   25,536x = 3,020,601,600
5. Step 5: Solve for x
   x = 3,020,601,600/25,536
6. Step 6: Final answer
   x = 118,287.97