Finding the Third Proportional to 21,664 and 34,308

Step by Step Solution

1. Step 1: Write the proportion equation
   21,664 : 34,308 = 34,308 : x
2. Step 2: Convert to fraction form
   21,664/34,308 = 34,308/x
3. Step 3: Cross multiply
   21,664x = 34,308 × 34,308
4. Step 4: Simplify right side
   21,664x = 1,177,038,864
5. Step 5: Solve for x
   x = 1,177,038,864/21,664
6. Step 6: Final answer
   x = 54,331.56