Finding the Third Proportional to 10,006 and 23,173

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 23,173 = 23,173 : x
2. Step 2: Convert to fraction form
   10,006/23,173 = 23,173/x
3. Step 3: Cross multiply
   10,006x = 23,173 × 23,173
4. Step 4: Simplify right side
   10,006x = 536,987,929
5. Step 5: Solve for x
   x = 536,987,929/10,006
6. Step 6: Final answer
   x = 53,666.59