Finding the Third Proportional to 9,777 and 22,842

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777 : 22,842 = 22,842 : x
2. Step 2: Convert to fraction form
   9,777/22,842 = 22,842/x
3. Step 3: Cross multiply
   9,777x = 22,842 × 22,842
4. Step 4: Simplify right side
   9,777x = 521,756,964
5. Step 5: Solve for x
   x = 521,756,964/9,777
6. Step 6: Final answer
   x = 53,365.75