Finding the Third Proportional to 8,205 and 12,134

Step by Step Solution

1. Step 1: Write the proportion equation
   8,205 : 12,134 = 12,134 : x
2. Step 2: Convert to fraction form
   8,205/12,134 = 12,134/x
3. Step 3: Cross multiply
   8,205x = 12,134 × 12,134
4. Step 4: Simplify right side
   8,205x = 147,233,956
5. Step 5: Solve for x
   x = 147,233,956/8,205
6. Step 6: Final answer
   x = 17,944.42