Finding the Third Proportional to 6,333 and 13,783

Step by Step Solution

1. Step 1: Write the proportion equation
   6,333 : 13,783 = 13,783 : x
2. Step 2: Convert to fraction form
   6,333/13,783 = 13,783/x
3. Step 3: Cross multiply
   6,333x = 13,783 × 13,783
4. Step 4: Simplify right side
   6,333x = 189,971,089
5. Step 5: Solve for x
   x = 189,971,089/6,333
6. Step 6: Final answer
   x = 29,997.01