Finding the Third Proportional to 9,624 and 14,154

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 14,154 = 14,154 : x
2. Step 2: Convert to fraction form
   9,624/14,154 = 14,154/x
3. Step 3: Cross multiply
   9,624x = 14,154 × 14,154
4. Step 4: Simplify right side
   9,624x = 200,335,716
5. Step 5: Solve for x
   x = 200,335,716/9,624
6. Step 6: Final answer
   x = 20,816.26