Finding the Third Proportional to 12,192 and 27,162

Step by Step Solution

1. Step 1: Write the proportion equation
   12,192 : 27,162 = 27,162 : x
2. Step 2: Convert to fraction form
   12,192/27,162 = 27,162/x
3. Step 3: Cross multiply
   12,192x = 27,162 × 27,162
4. Step 4: Simplify right side
   12,192x = 737,774,244
5. Step 5: Solve for x
   x = 737,774,244/12,192
6. Step 6: Final answer
   x = 60,512.98