Finding the Third Proportional to 12,680 and 27,002

Step by Step Solution

1. Step 1: Write the proportion equation
   12,680 : 27,002 = 27,002 : x
2. Step 2: Convert to fraction form
   12,680/27,002 = 27,002/x
3. Step 3: Cross multiply
   12,680x = 27,002 × 27,002
4. Step 4: Simplify right side
   12,680x = 729,108,004
5. Step 5: Solve for x
   x = 729,108,004/12,680
6. Step 6: Final answer
   x = 57,500.63