Finding the Third Proportional to 9,591 and 12,783

Step by Step Solution

1. Step 1: Write the proportion equation
   9,591 : 12,783 = 12,783 : x
2. Step 2: Convert to fraction form
   9,591/12,783 = 12,783/x
3. Step 3: Cross multiply
   9,591x = 12,783 × 12,783
4. Step 4: Simplify right side
   9,591x = 163,405,089
5. Step 5: Solve for x
   x = 163,405,089/9,591
6. Step 6: Final answer
   x = 17,037.34