Finding the Third Proportional to 25,128 and 55,278

Step by Step Solution

1. Step 1: Write the proportion equation
   25,128 : 55,278 = 55,278 : x
2. Step 2: Convert to fraction form
   25,128/55,278 = 55,278/x
3. Step 3: Cross multiply
   25,128x = 55,278 × 55,278
4. Step 4: Simplify right side
   25,128x = 3,055,657,284
5. Step 5: Solve for x
   x = 3,055,657,284/25,128
6. Step 6: Final answer
   x = 121,603.68