Finding the Third Proportional to 9,624 and 16,426

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 16,426 = 16,426 : x
2. Step 2: Convert to fraction form
   9,624/16,426 = 16,426/x
3. Step 3: Cross multiply
   9,624x = 16,426 × 16,426
4. Step 4: Simplify right side
   9,624x = 269,813,476
5. Step 5: Solve for x
   x = 269,813,476/9,624
6. Step 6: Final answer
   x = 28,035.48