Finding the Third Proportional to 20,846 and 31,233

Step by Step Solution

1. Step 1: Write the proportion equation
   20,846 : 31,233 = 31,233 : x
2. Step 2: Convert to fraction form
   20,846/31,233 = 31,233/x
3. Step 3: Cross multiply
   20,846x = 31,233 × 31,233
4. Step 4: Simplify right side
   20,846x = 975,500,289
5. Step 5: Solve for x
   x = 975,500,289/20,846
6. Step 6: Final answer
   x = 46,795.56