Finding the Third Proportional to 8,642 and 13,783

Step by Step Solution

1. Step 1: Write the proportion equation
   8,642 : 13,783 = 13,783 : x
2. Step 2: Convert to fraction form
   8,642/13,783 = 13,783/x
3. Step 3: Cross multiply
   8,642x = 13,783 × 13,783
4. Step 4: Simplify right side
   8,642x = 189,971,089
5. Step 5: Solve for x
   x = 189,971,089/8,642
6. Step 6: Final answer
   x = 21,982.31