Finding the Third Proportional to 9,214 and 13,033

Step by Step Solution

1. Step 1: Write the proportion equation
   9,214 : 13,033 = 13,033 : x
2. Step 2: Convert to fraction form
   9,214/13,033 = 13,033/x
3. Step 3: Cross multiply
   9,214x = 13,033 × 13,033
4. Step 4: Simplify right side
   9,214x = 169,859,089
5. Step 5: Solve for x
   x = 169,859,089/9,214
6. Step 6: Final answer
   x = 18,434.89