Finding the Third Proportional to 9,624 and 14,108

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 14,108 = 14,108 : x
2. Step 2: Convert to fraction form
   9,624/14,108 = 14,108/x
3. Step 3: Cross multiply
   9,624x = 14,108 × 14,108
4. Step 4: Simplify right side
   9,624x = 199,035,664
5. Step 5: Solve for x
   x = 199,035,664/9,624
6. Step 6: Final answer
   x = 20,681.18