Finding the Third Proportional to 16,824 and 23,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,824 : 23,575.50 = 23,575.50 : x
2. Step 2: Convert to fraction form
   16,824/23,575.50 = 23,575.50/x
3. Step 3: Cross multiply
   16,824x = 23,575.50 × 23,575.50
4. Step 4: Simplify right side
   16,824x = 555,804,200.25
5. Step 5: Solve for x
   x = 555,804,200.25/16,824
6. Step 6: Final answer
   x = 33,036.39