Finding the Third Proportional to 12,384 and 27,530

Step by Step Solution

1. Step 1: Write the proportion equation
   12,384 : 27,530 = 27,530 : x
2. Step 2: Convert to fraction form
   12,384/27,530 = 27,530/x
3. Step 3: Cross multiply
   12,384x = 27,530 × 27,530
4. Step 4: Simplify right side
   12,384x = 757,900,900
5. Step 5: Solve for x
   x = 757,900,900/12,384
6. Step 6: Final answer
   x = 61,200.01