Finding the Third Proportional to 10,004 and 21,664

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004 : 21,664 = 21,664 : x
2. Step 2: Convert to fraction form
   10,004/21,664 = 21,664/x
3. Step 3: Cross multiply
   10,004x = 21,664 × 21,664
4. Step 4: Simplify right side
   10,004x = 469,328,896
5. Step 5: Solve for x
   x = 469,328,896/10,004
6. Step 6: Final answer
   x = 46,914.12