Finding the Third Proportional to 23,680 and 51,872

Step by Step Solution

1. Step 1: Write the proportion equation
   23,680 : 51,872 = 51,872 : x
2. Step 2: Convert to fraction form
   23,680/51,872 = 51,872/x
3. Step 3: Cross multiply
   23,680x = 51,872 × 51,872
4. Step 4: Simplify right side
   23,680x = 2,690,704,384
5. Step 5: Solve for x
   x = 2,690,704,384/23,680
6. Step 6: Final answer
   x = 113,627.72