Finding the Third Proportional to 7,606 and 12,185

Step by Step Solution

1. Step 1: Write the proportion equation
   7,606 : 12,185 = 12,185 : x
2. Step 2: Convert to fraction form
   7,606/12,185 = 12,185/x
3. Step 3: Cross multiply
   7,606x = 12,185 × 12,185
4. Step 4: Simplify right side
   7,606x = 148,474,225
5. Step 5: Solve for x
   x = 148,474,225/7,606
6. Step 6: Final answer
   x = 19,520.67