Finding the Third Proportional to 12,078 and 25,259

Step by Step Solution

1. Step 1: Write the proportion equation
   12,078 : 25,259 = 25,259 : x
2. Step 2: Convert to fraction form
   12,078/25,259 = 25,259/x
3. Step 3: Cross multiply
   12,078x = 25,259 × 25,259
4. Step 4: Simplify right side
   12,078x = 638,017,081
5. Step 5: Solve for x
   x = 638,017,081/12,078
6. Step 6: Final answer
   x = 52,824.73