Finding the Third Proportional to 9,768 and 23,052

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 23,052 = 23,052 : x
2. Step 2: Convert to fraction form
   9,768/23,052 = 23,052/x
3. Step 3: Cross multiply
   9,768x = 23,052 × 23,052
4. Step 4: Simplify right side
   9,768x = 531,394,704
5. Step 5: Solve for x
   x = 531,394,704/9,768
6. Step 6: Final answer
   x = 54,401.59