Finding the Third Proportional to 12,624 and 17,701

Step by Step Solution

1. Step 1: Write the proportion equation
   12,624 : 17,701 = 17,701 : x
2. Step 2: Convert to fraction form
   12,624/17,701 = 17,701/x
3. Step 3: Cross multiply
   12,624x = 17,701 × 17,701
4. Step 4: Simplify right side
   12,624x = 313,325,401
5. Step 5: Solve for x
   x = 313,325,401/12,624
6. Step 6: Final answer
   x = 24,819.82