Finding the Third Proportional to 13,848 and 21,636

Step by Step Solution

1. Step 1: Write the proportion equation
   13,848 : 21,636 = 21,636 : x
2. Step 2: Convert to fraction form
   13,848/21,636 = 21,636/x
3. Step 3: Cross multiply
   13,848x = 21,636 × 21,636
4. Step 4: Simplify right side
   13,848x = 468,116,496
5. Step 5: Solve for x
   x = 468,116,496/13,848
6. Step 6: Final answer
   x = 33,803.91