Finding the Third Proportional to 7,656 and 10,780

Step by Step Solution

1. Step 1: Write the proportion equation
   7,656 : 10,780 = 10,780 : x
2. Step 2: Convert to fraction form
   7,656/10,780 = 10,780/x
3. Step 3: Cross multiply
   7,656x = 10,780 × 10,780
4. Step 4: Simplify right side
   7,656x = 116,208,400
5. Step 5: Solve for x
   x = 116,208,400/7,656
6. Step 6: Final answer
   x = 15,178.74