Finding the Third Proportional to 21,816 and 34,128

Step by Step Solution

1. Step 1: Write the proportion equation
   21,816 : 34,128 = 34,128 : x
2. Step 2: Convert to fraction form
   21,816/34,128 = 34,128/x
3. Step 3: Cross multiply
   21,816x = 34,128 × 34,128
4. Step 4: Simplify right side
   21,816x = 1,164,720,384
5. Step 5: Solve for x
   x = 1,164,720,384/21,816
6. Step 6: Final answer
   x = 53,388.36