Finding the Third Proportional to 20,658 and 31,182

Step by Step Solution

1. Step 1: Write the proportion equation
   20,658 : 31,182 = 31,182 : x
2. Step 2: Convert to fraction form
   20,658/31,182 = 31,182/x
3. Step 3: Cross multiply
   20,658x = 31,182 × 31,182
4. Step 4: Simplify right side
   20,658x = 972,317,124
5. Step 5: Solve for x
   x = 972,317,124/20,658
6. Step 6: Final answer
   x = 47,067.34