Finding the Third Proportional to 12,077 and 17,683

Step by Step Solution

1. Step 1: Write the proportion equation
   12,077 : 17,683 = 17,683 : x
2. Step 2: Convert to fraction form
   12,077/17,683 = 17,683/x
3. Step 3: Cross multiply
   12,077x = 17,683 × 17,683
4. Step 4: Simplify right side
   12,077x = 312,688,489
5. Step 5: Solve for x
   x = 312,688,489/12,077
6. Step 6: Final answer
   x = 25,891.24