Finding the Third Proportional to 12,384 and 27,112

Step by Step Solution

1. Step 1: Write the proportion equation
   12,384 : 27,112 = 27,112 : x
2. Step 2: Convert to fraction form
   12,384/27,112 = 27,112/x
3. Step 3: Cross multiply
   12,384x = 27,112 × 27,112
4. Step 4: Simplify right side
   12,384x = 735,060,544
5. Step 5: Solve for x
   x = 735,060,544/12,384
6. Step 6: Final answer
   x = 59,355.66