Finding the Third Proportional to 24,291 and 32,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,291 : 32,809.50 = 32,809.50 : x
2. Step 2: Convert to fraction form
   24,291/32,809.50 = 32,809.50/x
3. Step 3: Cross multiply
   24,291x = 32,809.50 × 32,809.50
4. Step 4: Simplify right side
   24,291x = 1,076,463,290.25
5. Step 5: Solve for x
   x = 1,076,463,290.25/24,291
6. Step 6: Final answer
   x = 44,315.31