Finding the Third Proportional to 10,381.50 and 12,285

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.50 : 12,285 = 12,285 : x
2. Step 2: Convert to fraction form
   10,381.50/12,285 = 12,285/x
3. Step 3: Cross multiply
   10,381.50x = 12,285 × 12,285
4. Step 4: Simplify right side
   10,381.50x = 150,921,225
5. Step 5: Solve for x
   x = 150,921,225/10,381.50
6. Step 6: Final answer
   x = 14,537.52