Finding the Third Proportional to 21,440 and 34,116

Step by Step Solution

1. Step 1: Write the proportion equation
   21,440 : 34,116 = 34,116 : x
2. Step 2: Convert to fraction form
   21,440/34,116 = 34,116/x
3. Step 3: Cross multiply
   21,440x = 34,116 × 34,116
4. Step 4: Simplify right side
   21,440x = 1,163,901,456
5. Step 5: Solve for x
   x = 1,163,901,456/21,440
6. Step 6: Final answer
   x = 54,286.45