Finding the Third Proportional to 7,786 and 10,490

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786 : 10,490 = 10,490 : x
2. Step 2: Convert to fraction form
   7,786/10,490 = 10,490/x
3. Step 3: Cross multiply
   7,786x = 10,490 × 10,490
4. Step 4: Simplify right side
   7,786x = 110,040,100
5. Step 5: Solve for x
   x = 110,040,100/7,786
6. Step 6: Final answer
   x = 14,133.07