Finding the Third Proportional to 10,002 and 11,406

Step by Step Solution

1. Step 1: Write the proportion equation
   10,002 : 11,406 = 11,406 : x
2. Step 2: Convert to fraction form
   10,002/11,406 = 11,406/x
3. Step 3: Cross multiply
   10,002x = 11,406 × 11,406
4. Step 4: Simplify right side
   10,002x = 130,096,836
5. Step 5: Solve for x
   x = 130,096,836/10,002
6. Step 6: Final answer
   x = 13,007.08