Finding the Third Proportional to 9,624 and 13,772

Step by Step Solution

1. Step 1: Write the proportion equation
   9,624 : 13,772 = 13,772 : x
2. Step 2: Convert to fraction form
   9,624/13,772 = 13,772/x
3. Step 3: Cross multiply
   9,624x = 13,772 × 13,772
4. Step 4: Simplify right side
   9,624x = 189,667,984
5. Step 5: Solve for x
   x = 189,667,984/9,624
6. Step 6: Final answer
   x = 19,707.81