Finding the Third Proportional to 14,462 and 21,636

Step by Step Solution

1. Step 1: Write the proportion equation
   14,462 : 21,636 = 21,636 : x
2. Step 2: Convert to fraction form
   14,462/21,636 = 21,636/x
3. Step 3: Cross multiply
   14,462x = 21,636 × 21,636
4. Step 4: Simplify right side
   14,462x = 468,116,496
5. Step 5: Solve for x
   x = 468,116,496/14,462
6. Step 6: Final answer
   x = 32,368.72