Finding the Third Proportional to 12,278 and 25,648

Step by Step Solution

1. Step 1: Write the proportion equation
   12,278 : 25,648 = 25,648 : x
2. Step 2: Convert to fraction form
   12,278/25,648 = 25,648/x
3. Step 3: Cross multiply
   12,278x = 25,648 × 25,648
4. Step 4: Simplify right side
   12,278x = 657,819,904
5. Step 5: Solve for x
   x = 657,819,904/12,278
6. Step 6: Final answer
   x = 53,577.12