Finding the Third Proportional to 23,440 and 41,684

Step by Step Solution

1. Step 1: Write the proportion equation
   23,440 : 41,684 = 41,684 : x
2. Step 2: Convert to fraction form
   23,440/41,684 = 41,684/x
3. Step 3: Cross multiply
   23,440x = 41,684 × 41,684
4. Step 4: Simplify right side
   23,440x = 1,737,555,856
5. Step 5: Solve for x
   x = 1,737,555,856/23,440
6. Step 6: Final answer
   x = 74,127.81