Finding the Third Proportional to 9,300 and 11,826

Step by Step Solution

1. Step 1: Write the proportion equation
   9,300 : 11,826 = 11,826 : x
2. Step 2: Convert to fraction form
   9,300/11,826 = 11,826/x
3. Step 3: Cross multiply
   9,300x = 11,826 × 11,826
4. Step 4: Simplify right side
   9,300x = 139,854,276
5. Step 5: Solve for x
   x = 139,854,276/9,300
6. Step 6: Final answer
   x = 15,038.09