Finding the Third Proportional to 10,392.75 and 19,828.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.75 : 19,828.69 = 19,828.69 : x
2. Step 2: Convert to fraction form
   10,392.75/19,828.69 = 19,828.69/x
3. Step 3: Cross multiply
   10,392.75x = 19,828.69 × 19,828.69
4. Step 4: Simplify right side
   10,392.75x = 393,176,847.97
5. Step 5: Solve for x
   x = 393,176,847.97/10,392.75
6. Step 6: Final answer
   x = 37,831.84