Finding the Third Proportional to 9,619 and 13,624

Step by Step Solution

1. Step 1: Write the proportion equation
   9,619 : 13,624 = 13,624 : x
2. Step 2: Convert to fraction form
   9,619/13,624 = 13,624/x
3. Step 3: Cross multiply
   9,619x = 13,624 × 13,624
4. Step 4: Simplify right side
   9,619x = 185,613,376
5. Step 5: Solve for x
   x = 185,613,376/9,619
6. Step 6: Final answer
   x = 19,296.54