Finding the Third Proportional to 16,569 and 36,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,569 : 36,823.50 = 36,823.50 : x
2. Step 2: Convert to fraction form
   16,569/36,823.50 = 36,823.50/x
3. Step 3: Cross multiply
   16,569x = 36,823.50 × 36,823.50
4. Step 4: Simplify right side
   16,569x = 1,355,970,152.25
5. Step 5: Solve for x
   x = 1,355,970,152.25/16,569
6. Step 6: Final answer
   x = 81,837.78