Finding the Third Proportional to 23,856 and 51,640

Step by Step Solution

1. Step 1: Write the proportion equation
   23,856 : 51,640 = 51,640 : x
2. Step 2: Convert to fraction form
   23,856/51,640 = 51,640/x
3. Step 3: Cross multiply
   23,856x = 51,640 × 51,640
4. Step 4: Simplify right side
   23,856x = 2,666,689,600
5. Step 5: Solve for x
   x = 2,666,689,600/23,856
6. Step 6: Final answer
   x = 111,782.76