Finding the Third Proportional to 7,769 and 10,549

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769 : 10,549 = 10,549 : x
2. Step 2: Convert to fraction form
   7,769/10,549 = 10,549/x
3. Step 3: Cross multiply
   7,769x = 10,549 × 10,549
4. Step 4: Simplify right side
   7,769x = 111,281,401
5. Step 5: Solve for x
   x = 111,281,401/7,769
6. Step 6: Final answer
   x = 14,323.77