Finding the Third Proportional to 10,142.72 and 19,009.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.72 : 19,009.69 = 19,009.69 : x
2. Step 2: Convert to fraction form
   10,142.72/19,009.69 = 19,009.69/x
3. Step 3: Cross multiply
   10,142.72x = 19,009.69 × 19,009.69
4. Step 4: Simplify right side
   10,142.72x = 361,368,218.85
5. Step 5: Solve for x
   x = 361,368,218.85/10,142.72
6. Step 6: Final answer
   x = 35,628.34