Finding the Third Proportional to 13,927 and 21,584

Step by Step Solution

1. Step 1: Write the proportion equation
   13,927 : 21,584 = 21,584 : x
2. Step 2: Convert to fraction form
   13,927/21,584 = 21,584/x
3. Step 3: Cross multiply
   13,927x = 21,584 × 21,584
4. Step 4: Simplify right side
   13,927x = 465,869,056
5. Step 5: Solve for x
   x = 465,869,056/13,927
6. Step 6: Final answer
   x = 33,450.78