Finding the Third Proportional to 13,869 and 21,520

Step by Step Solution

1. Step 1: Write the proportion equation
   13,869 : 21,520 = 21,520 : x
2. Step 2: Convert to fraction form
   13,869/21,520 = 21,520/x
3. Step 3: Cross multiply
   13,869x = 21,520 × 21,520
4. Step 4: Simplify right side
   13,869x = 463,110,400
5. Step 5: Solve for x
   x = 463,110,400/13,869
6. Step 6: Final answer
   x = 33,391.77