Finding the Third Proportional to 11,823.47 and 17,632.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823.47 : 17,632.69 = 17,632.69 : x
2. Step 2: Convert to fraction form
   11,823.47/17,632.69 = 17,632.69/x
3. Step 3: Cross multiply
   11,823.47x = 17,632.69 × 17,632.69
4. Step 4: Simplify right side
   11,823.47x = 310,911,668.47
5. Step 5: Solve for x
   x = 310,911,668.47/11,823.47
6. Step 6: Final answer
   x = 26,296.15