Finding the Third Proportional to 20,774 and 31,187

Step by Step Solution

1. Step 1: Write the proportion equation
   20,774 : 31,187 = 31,187 : x
2. Step 2: Convert to fraction form
   20,774/31,187 = 31,187/x
3. Step 3: Cross multiply
   20,774x = 31,187 × 31,187
4. Step 4: Simplify right side
   20,774x = 972,628,969
5. Step 5: Solve for x
   x = 972,628,969/20,774
6. Step 6: Final answer
   x = 46,819.53