Finding the Third Proportional to 5,288 and 10,664

Step by Step Solution

1. Step 1: Write the proportion equation
   5,288 : 10,664 = 10,664 : x
2. Step 2: Convert to fraction form
   5,288/10,664 = 10,664/x
3. Step 3: Cross multiply
   5,288x = 10,664 × 10,664
4. Step 4: Simplify right side
   5,288x = 113,720,896
5. Step 5: Solve for x
   x = 113,720,896/5,288
6. Step 6: Final answer
   x = 21,505.46