Finding the Third Proportional to 9,768 and 21,387

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 21,387 = 21,387 : x
2. Step 2: Convert to fraction form
   9,768/21,387 = 21,387/x
3. Step 3: Cross multiply
   9,768x = 21,387 × 21,387
4. Step 4: Simplify right side
   9,768x = 457,403,769
5. Step 5: Solve for x
   x = 457,403,769/9,768
6. Step 6: Final answer
   x = 46,826.76