Finding the Third Proportional to 21,664 and 33,460

Step by Step Solution

1. Step 1: Write the proportion equation
   21,664 : 33,460 = 33,460 : x
2. Step 2: Convert to fraction form
   21,664/33,460 = 33,460/x
3. Step 3: Cross multiply
   21,664x = 33,460 × 33,460
4. Step 4: Simplify right side
   21,664x = 1,119,571,600
5. Step 5: Solve for x
   x = 1,119,571,600/21,664
6. Step 6: Final answer
   x = 51,678.90