Finding the Third Proportional to 12,823.31 and 19,698.19

Step by Step Solution

1. Step 1: Write the proportion equation
   12,823.31 : 19,698.19 = 19,698.19 : x
2. Step 2: Convert to fraction form
   12,823.31/19,698.19 = 19,698.19/x
3. Step 3: Cross multiply
   12,823.31x = 19,698.19 × 19,698.19
4. Step 4: Simplify right side
   12,823.31x = 388,018,590.79
5. Step 5: Solve for x
   x = 388,018,590.79/12,823.31
6. Step 6: Final answer
   x = 30,258.84