Finding the Third Proportional to 7,674 and 10,033

Step by Step Solution

1. Step 1: Write the proportion equation
   7,674 : 10,033 = 10,033 : x
2. Step 2: Convert to fraction form
   7,674/10,033 = 10,033/x
3. Step 3: Cross multiply
   7,674x = 10,033 × 10,033
4. Step 4: Simplify right side
   7,674x = 100,661,089
5. Step 5: Solve for x
   x = 100,661,089/7,674
6. Step 6: Final answer
   x = 13,117.16