Finding the Third Proportional to 10,005 and 23,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005 : 23,164 = 23,164 : x
2. Step 2: Convert to fraction form
   10,005/23,164 = 23,164/x
3. Step 3: Cross multiply
   10,005x = 23,164 × 23,164
4. Step 4: Simplify right side
   10,005x = 536,570,896
5. Step 5: Solve for x
   x = 536,570,896/10,005
6. Step 6: Final answer
   x = 53,630.27