Finding the Third Proportional to 7,707 and 18,012

Step by Step Solution

1. Step 1: Write the proportion equation
   7,707 : 18,012 = 18,012 : x
2. Step 2: Convert to fraction form
   7,707/18,012 = 18,012/x
3. Step 3: Cross multiply
   7,707x = 18,012 × 18,012
4. Step 4: Simplify right side
   7,707x = 324,432,144
5. Step 5: Solve for x
   x = 324,432,144/7,707
6. Step 6: Final answer
   x = 42,095.78