Finding the Third Proportional to 10,378 and 21,768

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378 : 21,768 = 21,768 : x
2. Step 2: Convert to fraction form
   10,378/21,768 = 21,768/x
3. Step 3: Cross multiply
   10,378x = 21,768 × 21,768
4. Step 4: Simplify right side
   10,378x = 473,845,824
5. Step 5: Solve for x
   x = 473,845,824/10,378
6. Step 6: Final answer
   x = 45,658.68