Finding the Third Proportional to 13,624 and 21,410

Step by Step Solution

1. Step 1: Write the proportion equation
   13,624 : 21,410 = 21,410 : x
2. Step 2: Convert to fraction form
   13,624/21,410 = 21,410/x
3. Step 3: Cross multiply
   13,624x = 21,410 × 21,410
4. Step 4: Simplify right side
   13,624x = 458,388,100
5. Step 5: Solve for x
   x = 458,388,100/13,624
6. Step 6: Final answer
   x = 33,645.63