Finding the Third Proportional to 4,900 and 10,664

Step by Step Solution

1. Step 1: Write the proportion equation
   4,900 : 10,664 = 10,664 : x
2. Step 2: Convert to fraction form
   4,900/10,664 = 10,664/x
3. Step 3: Cross multiply
   4,900x = 10,664 × 10,664
4. Step 4: Simplify right side
   4,900x = 113,720,896
5. Step 5: Solve for x
   x = 113,720,896/4,900
6. Step 6: Final answer
   x = 23,208.35