Finding the Third Proportional to 25,720 and 56,096

Step by Step Solution

1. Step 1: Write the proportion equation
   25,720 : 56,096 = 56,096 : x
2. Step 2: Convert to fraction form
   25,720/56,096 = 56,096/x
3. Step 3: Cross multiply
   25,720x = 56,096 × 56,096
4. Step 4: Simplify right side
   25,720x = 3,146,761,216
5. Step 5: Solve for x
   x = 3,146,761,216/25,720
6. Step 6: Final answer
   x = 122,346.86