Finding the Third Proportional to 23,872 and 51,760

Step by Step Solution

1. Step 1: Write the proportion equation
   23,872 : 51,760 = 51,760 : x
2. Step 2: Convert to fraction form
   23,872/51,760 = 51,760/x
3. Step 3: Cross multiply
   23,872x = 51,760 × 51,760
4. Step 4: Simplify right side
   23,872x = 2,679,097,600
5. Step 5: Solve for x
   x = 2,679,097,600/23,872
6. Step 6: Final answer
   x = 112,227.61