Finding the Third Proportional to 12,564 and 27,036

Step by Step Solution

1. Step 1: Write the proportion equation
   12,564 : 27,036 = 27,036 : x
2. Step 2: Convert to fraction form
   12,564/27,036 = 27,036/x
3. Step 3: Cross multiply
   12,564x = 27,036 × 27,036
4. Step 4: Simplify right side
   12,564x = 730,945,296
5. Step 5: Solve for x
   x = 730,945,296/12,564
6. Step 6: Final answer
   x = 58,177.75