Finding the Third Proportional to 9,624 and 17,196

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 17,196 = 17,196 : x
2. Step 2: Convert to fraction form
   9,624/17,196 = 17,196/x
3. Step 3: Cross multiply
   9,624x = 17,196 × 17,196
4. Step 4: Simplify right side
   9,624x = 295,702,416
5. Step 5: Solve for x
   x = 295,702,416/9,624
6. Step 6: Final answer
   x = 30,725.52