Finding the Third Proportional to 12,147 and 13,011

Step by Step Solution

1. Step 1: Write the proportion equation
   12,147 : 13,011 = 13,011 : x
2. Step 2: Convert to fraction form
   12,147/13,011 = 13,011/x
3. Step 3: Cross multiply
   12,147x = 13,011 × 13,011
4. Step 4: Simplify right side
   12,147x = 169,286,121
5. Step 5: Solve for x
   x = 169,286,121/12,147
6. Step 6: Final answer
   x = 13,936.46