Finding the Third Proportional to 9,768 and 21,354

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 21,354 = 21,354 : x
2. Step 2: Convert to fraction form
   9,768/21,354 = 21,354/x
3. Step 3: Cross multiply
   9,768x = 21,354 × 21,354
4. Step 4: Simplify right side
   9,768x = 455,993,316
5. Step 5: Solve for x
   x = 455,993,316/9,768
6. Step 6: Final answer
   x = 46,682.36