Finding the Third Proportional to 25,464 and 55,284

Step by Step Solution

1. Step 1: Write the proportion equation
   25,464 : 55,284 = 55,284 : x
2. Step 2: Convert to fraction form
   25,464/55,284 = 55,284/x
3. Step 3: Cross multiply
   25,464x = 55,284 × 55,284
4. Step 4: Simplify right side
   25,464x = 3,056,320,656
5. Step 5: Solve for x
   x = 3,056,320,656/25,464
6. Step 6: Final answer
   x = 120,025.16