Finding the Third Proportional to 7,769 and 13,314

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769 : 13,314 = 13,314 : x
2. Step 2: Convert to fraction form
   7,769/13,314 = 13,314/x
3. Step 3: Cross multiply
   7,769x = 13,314 × 13,314
4. Step 4: Simplify right side
   7,769x = 177,262,596
5. Step 5: Solve for x
   x = 177,262,596/7,769
6. Step 6: Final answer
   x = 22,816.66