Finding the Third Proportional to 25,180 and 52,454

Step by Step Solution

1. Step 1: Write the proportion equation
   25,180 : 52,454 = 52,454 : x
2. Step 2: Convert to fraction form
   25,180/52,454 = 52,454/x
3. Step 3: Cross multiply
   25,180x = 52,454 × 52,454
4. Step 4: Simplify right side
   25,180x = 2,751,422,116
5. Step 5: Solve for x
   x = 2,751,422,116/25,180
6. Step 6: Final answer
   x = 109,270.14