Finding the Third Proportional to 2,872 and 7,768

Step by Step Solution

1. Step 1: Write the proportion equation
   2,872 : 7,768 = 7,768 : x
2. Step 2: Convert to fraction form
   2,872/7,768 = 7,768/x
3. Step 3: Cross multiply
   2,872x = 7,768 × 7,768
4. Step 4: Simplify right side
   2,872x = 60,341,824
5. Step 5: Solve for x
   x = 60,341,824/2,872
6. Step 6: Final answer
   x = 21,010.38