Finding the Third Proportional to 9,102 and 12,885

Step by Step Solution

1. Step 1: Write the proportion equation
   9,102 : 12,885 = 12,885 : x
2. Step 2: Convert to fraction form
   9,102/12,885 = 12,885/x
3. Step 3: Cross multiply
   9,102x = 12,885 × 12,885
4. Step 4: Simplify right side
   9,102x = 166,023,225
5. Step 5: Solve for x
   x = 166,023,225/9,102
6. Step 6: Final answer
   x = 18,240.30