Finding the Third Proportional to 9,224 and 13,772

Step by Step Solution

1. Step 1: Write the proportion equation
   9,224 : 13,772 = 13,772 : x
2. Step 2: Convert to fraction form
   9,224/13,772 = 13,772/x
3. Step 3: Cross multiply
   9,224x = 13,772 × 13,772
4. Step 4: Simplify right side
   9,224x = 189,667,984
5. Step 5: Solve for x
   x = 189,667,984/9,224
6. Step 6: Final answer
   x = 20,562.44