Finding the Third Proportional to 11,823.14 and 19,705.23

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823.14 : 19,705.23 = 19,705.23 : x
2. Step 2: Convert to fraction form
   11,823.14/19,705.23 = 19,705.23/x
3. Step 3: Cross multiply
   11,823.14x = 19,705.23 × 19,705.23
4. Step 4: Simplify right side
   11,823.14x = 388,295,894.95
5. Step 5: Solve for x
   x = 388,295,894.95/11,823.14
6. Step 6: Final answer
   x = 32,842.04