Finding the Third Proportional to 7,757 and 10,405

Step by Step Solution

1. Step 1: Write the proportion equation
   7,757 : 10,405 = 10,405 : x
2. Step 2: Convert to fraction form
   7,757/10,405 = 10,405/x
3. Step 3: Cross multiply
   7,757x = 10,405 × 10,405
4. Step 4: Simplify right side
   7,757x = 108,264,025
5. Step 5: Solve for x
   x = 108,264,025/7,757
6. Step 6: Final answer
   x = 13,956.95