Finding the Third Proportional to 7,780 and 10,818

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780 : 10,818 = 10,818 : x
2. Step 2: Convert to fraction form
   7,780/10,818 = 10,818/x
3. Step 3: Cross multiply
   7,780x = 10,818 × 10,818
4. Step 4: Simplify right side
   7,780x = 117,029,124
5. Step 5: Solve for x
   x = 117,029,124/7,780
6. Step 6: Final answer
   x = 15,042.30