Finding the Third Proportional to 16,569 and 36,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,569 : 36,175.50 = 36,175.50 : x
2. Step 2: Convert to fraction form
   16,569/36,175.50 = 36,175.50/x
3. Step 3: Cross multiply
   16,569x = 36,175.50 × 36,175.50
4. Step 4: Simplify right side
   16,569x = 1,308,666,800.25
5. Step 5: Solve for x
   x = 1,308,666,800.25/16,569
6. Step 6: Final answer
   x = 78,982.85