Finding the Third Proportional to 20,426 and 31,017

Step by Step Solution

1. Step 1: Write the proportion equation
   20,426 : 31,017 = 31,017 : x
2. Step 2: Convert to fraction form
   20,426/31,017 = 31,017/x
3. Step 3: Cross multiply
   20,426x = 31,017 × 31,017
4. Step 4: Simplify right side
   20,426x = 962,054,289
5. Step 5: Solve for x
   x = 962,054,289/20,426
6. Step 6: Final answer
   x = 47,099.50