Finding the Third Proportional to 11,178 and 12,285

Step by Step Solution

1. Step 1: Write the proportion equation
   11,178 : 12,285 = 12,285 : x
2. Step 2: Convert to fraction form
   11,178/12,285 = 12,285/x
3. Step 3: Cross multiply
   11,178x = 12,285 × 12,285
4. Step 4: Simplify right side
   11,178x = 150,921,225
5. Step 5: Solve for x
   x = 150,921,225/11,178
6. Step 6: Final answer
   x = 13,501.63