Finding the Third Proportional to 23,846 and 51,796

Step by Step Solution

1. Step 1: Write the proportion equation
   23,846 : 51,796 = 51,796 : x
2. Step 2: Convert to fraction form
   23,846/51,796 = 51,796/x
3. Step 3: Cross multiply
   23,846x = 51,796 × 51,796
4. Step 4: Simplify right side
   23,846x = 2,682,825,616
5. Step 5: Solve for x
   x = 2,682,825,616/23,846
6. Step 6: Final answer
   x = 112,506.32