Finding the Third Proportional to 13,078 and 25,496

Step by Step Solution

1. Step 1: Write the proportion equation
   13,078 : 25,496 = 25,496 : x
2. Step 2: Convert to fraction form
   13,078/25,496 = 25,496/x
3. Step 3: Cross multiply
   13,078x = 25,496 × 25,496
4. Step 4: Simplify right side
   13,078x = 650,046,016
5. Step 5: Solve for x
   x = 650,046,016/13,078
6. Step 6: Final answer
   x = 49,705.31