Finding the Third Proportional to 10,626 and 11,436

Step by Step Solution

1. Step 1: Write the proportion equation
   10,626 : 11,436 = 11,436 : x
2. Step 2: Convert to fraction form
   10,626/11,436 = 11,436/x
3. Step 3: Cross multiply
   10,626x = 11,436 × 11,436
4. Step 4: Simplify right side
   10,626x = 130,782,096
5. Step 5: Solve for x
   x = 130,782,096/10,626
6. Step 6: Final answer
   x = 12,307.74