Finding the Third Proportional to 12,760 and 25,852

Step by Step Solution

1. Step 1: Write the proportion equation
   12,760 : 25,852 = 25,852 : x
2. Step 2: Convert to fraction form
   12,760/25,852 = 25,852/x
3. Step 3: Cross multiply
   12,760x = 25,852 × 25,852
4. Step 4: Simplify right side
   12,760x = 668,325,904
5. Step 5: Solve for x
   x = 668,325,904/12,760
6. Step 6: Final answer
   x = 52,376.64