Finding the Third Proportional to 10,005 and 14,196

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005 : 14,196 = 14,196 : x
2. Step 2: Convert to fraction form
   10,005/14,196 = 14,196/x
3. Step 3: Cross multiply
   10,005x = 14,196 × 14,196
4. Step 4: Simplify right side
   10,005x = 201,526,416
5. Step 5: Solve for x
   x = 201,526,416/10,005
6. Step 6: Final answer
   x = 20,142.57