Finding the Third Proportional to 13,872 and 25,584

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872 : 25,584 = 25,584 : x
2. Step 2: Convert to fraction form
   13,872/25,584 = 25,584/x
3. Step 3: Cross multiply
   13,872x = 25,584 × 25,584
4. Step 4: Simplify right side
   13,872x = 654,541,056
5. Step 5: Solve for x
   x = 654,541,056/13,872
6. Step 6: Final answer
   x = 47,184.33