Finding the Third Proportional to 7,786 and 10,491

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786 : 10,491 = 10,491 : x
2. Step 2: Convert to fraction form
   7,786/10,491 = 10,491/x
3. Step 3: Cross multiply
   7,786x = 10,491 × 10,491
4. Step 4: Simplify right side
   7,786x = 110,061,081
5. Step 5: Solve for x
   x = 110,061,081/7,786
6. Step 6: Final answer
   x = 14,135.77