Finding the Third Proportional to 25,680 and 52,896

Step by Step Solution

1. Step 1: Write the proportion equation
   25,680 : 52,896 = 52,896 : x
2. Step 2: Convert to fraction form
   25,680/52,896 = 52,896/x
3. Step 3: Cross multiply
   25,680x = 52,896 × 52,896
4. Step 4: Simplify right side
   25,680x = 2,797,986,816
5. Step 5: Solve for x
   x = 2,797,986,816/25,680
6. Step 6: Final answer
   x = 108,955.87