Finding the Third Proportional to 6,417 and 12,033

Step by Step Solution

1. Step 1: Write the proportion equation
   6,417 : 12,033 = 12,033 : x
2. Step 2: Convert to fraction form
   6,417/12,033 = 12,033/x
3. Step 3: Cross multiply
   6,417x = 12,033 × 12,033
4. Step 4: Simplify right side
   6,417x = 144,793,089
5. Step 5: Solve for x
   x = 144,793,089/6,417
6. Step 6: Final answer
   x = 22,563.98