Finding the Third Proportional to 20,412 and 31,806

Step by Step Solution

1. Step 1: Write the proportion equation
   20,412 : 31,806 = 31,806 : x
2. Step 2: Convert to fraction form
   20,412/31,806 = 31,806/x
3. Step 3: Cross multiply
   20,412x = 31,806 × 31,806
4. Step 4: Simplify right side
   20,412x = 1,011,621,636
5. Step 5: Solve for x
   x = 1,011,621,636/20,412
6. Step 6: Final answer
   x = 49,560.14