Finding the Third Proportional to 9,774 and 22,806

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774 : 22,806 = 22,806 : x
2. Step 2: Convert to fraction form
   9,774/22,806 = 22,806/x
3. Step 3: Cross multiply
   9,774x = 22,806 × 22,806
4. Step 4: Simplify right side
   9,774x = 520,113,636
5. Step 5: Solve for x
   x = 520,113,636/9,774
6. Step 6: Final answer
   x = 53,214