Finding the Third Proportional to 7,769 and 10,546

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769 : 10,546 = 10,546 : x
2. Step 2: Convert to fraction form
   7,769/10,546 = 10,546/x
3. Step 3: Cross multiply
   7,769x = 10,546 × 10,546
4. Step 4: Simplify right side
   7,769x = 111,218,116
5. Step 5: Solve for x
   x = 111,218,116/7,769
6. Step 6: Final answer
   x = 14,315.63