Finding the Third Proportional to 12,864 and 25,120

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 25,120 = 25,120 : x
2. Step 2: Convert to fraction form
   12,864/25,120 = 25,120/x
3. Step 3: Cross multiply
   12,864x = 25,120 × 25,120
4. Step 4: Simplify right side
   12,864x = 631,014,400
5. Step 5: Solve for x
   x = 631,014,400/12,864
6. Step 6: Final answer
   x = 49,052.74