Finding the Third Proportional to 20,583 and 31,162

Step by Step Solution

1. Step 1: Write the proportion equation
   20,583 : 31,162 = 31,162 : x
2. Step 2: Convert to fraction form
   20,583/31,162 = 31,162/x
3. Step 3: Cross multiply
   20,583x = 31,162 × 31,162
4. Step 4: Simplify right side
   20,583x = 971,070,244
5. Step 5: Solve for x
   x = 971,070,244/20,583
6. Step 6: Final answer
   x = 47,178.27