Finding the Third Proportional to 12,382 and 25,584

Step by Step Solution

1. Step 1: Write the proportion equation
   12,382 : 25,584 = 25,584 : x
2. Step 2: Convert to fraction form
   12,382/25,584 = 25,584/x
3. Step 3: Cross multiply
   12,382x = 25,584 × 25,584
4. Step 4: Simplify right side
   12,382x = 654,541,056
5. Step 5: Solve for x
   x = 654,541,056/12,382
6. Step 6: Final answer
   x = 52,862.30