Finding the Third Proportional to 7,569 and 16,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,569 : 16,168.50 = 16,168.50 : x
2. Step 2: Convert to fraction form
   7,569/16,168.50 = 16,168.50/x
3. Step 3: Cross multiply
   7,569x = 16,168.50 × 16,168.50
4. Step 4: Simplify right side
   7,569x = 261,420,392.25
5. Step 5: Solve for x
   x = 261,420,392.25/7,569
6. Step 6: Final answer
   x = 34,538.30