Finding the Third Proportional to 9,149.20 and 13,906.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,149.20 : 13,906.69 = 13,906.69 : x
2. Step 2: Convert to fraction form
   9,149.20/13,906.69 = 13,906.69/x
3. Step 3: Cross multiply
   9,149.20x = 13,906.69 × 13,906.69
4. Step 4: Simplify right side
   9,149.20x = 193,395,957.22
5. Step 5: Solve for x
   x = 193,395,957.22/9,149.20
6. Step 6: Final answer
   x = 21,138.01