Finding the Third Proportional to 5,634 and 12,384

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634 : 12,384 = 12,384 : x
2. Step 2: Convert to fraction form
   5,634/12,384 = 12,384/x
3. Step 3: Cross multiply
   5,634x = 12,384 × 12,384
4. Step 4: Simplify right side
   5,634x = 153,363,456
5. Step 5: Solve for x
   x = 153,363,456/5,634
6. Step 6: Final answer
   x = 27,221.06