Finding the Third Proportional to 12,414 and 27,015

Step by Step Solution

1. Step 1: Write the proportion equation
   12,414 : 27,015 = 27,015 : x
2. Step 2: Convert to fraction form
   12,414/27,015 = 27,015/x
3. Step 3: Cross multiply
   12,414x = 27,015 × 27,015
4. Step 4: Simplify right side
   12,414x = 729,810,225
5. Step 5: Solve for x
   x = 729,810,225/12,414
6. Step 6: Final answer
   x = 58,789.29