Finding the Third Proportional to 9,107 and 14,147

Step by Step Solution

1. Step 1: Write the proportion equation
   9,107 : 14,147 = 14,147 : x
2. Step 2: Convert to fraction form
   9,107/14,147 = 14,147/x
3. Step 3: Cross multiply
   9,107x = 14,147 × 14,147
4. Step 4: Simplify right side
   9,107x = 200,137,609
5. Step 5: Solve for x
   x = 200,137,609/9,107
6. Step 6: Final answer
   x = 21,976.24