Finding the Third Proportional to 12,400 and 25,664

Step by Step Solution

1. Step 1: Write the proportion equation
   12,400 : 25,664 = 25,664 : x
2. Step 2: Convert to fraction form
   12,400/25,664 = 25,664/x
3. Step 3: Cross multiply
   12,400x = 25,664 × 25,664
4. Step 4: Simplify right side
   12,400x = 658,640,896
5. Step 5: Solve for x
   x = 658,640,896/12,400
6. Step 6: Final answer
   x = 53,116.20