Finding the Third Proportional to 9,768 and 22,488

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 22,488 = 22,488 : x
2. Step 2: Convert to fraction form
   9,768/22,488 = 22,488/x
3. Step 3: Cross multiply
   9,768x = 22,488 × 22,488
4. Step 4: Simplify right side
   9,768x = 505,710,144
5. Step 5: Solve for x
   x = 505,710,144/9,768
6. Step 6: Final answer
   x = 51,772.13