Finding the Third Proportional to 19,665 and 32,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,665 : 32,809.50 = 32,809.50 : x
2. Step 2: Convert to fraction form
   19,665/32,809.50 = 32,809.50/x
3. Step 3: Cross multiply
   19,665x = 32,809.50 × 32,809.50
4. Step 4: Simplify right side
   19,665x = 1,076,463,290.25
5. Step 5: Solve for x
   x = 1,076,463,290.25/19,665
6. Step 6: Final answer
   x = 54,740.06