Finding the Third Proportional to 25,600 and 52,976

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600 : 52,976 = 52,976 : x
2. Step 2: Convert to fraction form
   25,600/52,976 = 52,976/x
3. Step 3: Cross multiply
   25,600x = 52,976 × 52,976
4. Step 4: Simplify right side
   25,600x = 2,806,456,576
5. Step 5: Solve for x
   x = 2,806,456,576/25,600
6. Step 6: Final answer
   x = 109,627.21