Finding the Third Proportional to 7,768 and 10,104

Step by Step Solution

1. Step 1: Write the proportion equation
   7,768 : 10,104 = 10,104 : x
2. Step 2: Convert to fraction form
   7,768/10,104 = 10,104/x
3. Step 3: Cross multiply
   7,768x = 10,104 × 10,104
4. Step 4: Simplify right side
   7,768x = 102,090,816
5. Step 5: Solve for x
   x = 102,090,816/7,768
6. Step 6: Final answer
   x = 13,142.48