Finding the Third Proportional to 7,500 and 16,150

Step by Step Solution

1. Step 1: Write the proportion equation
   7,500 : 16,150 = 16,150 : x
2. Step 2: Convert to fraction form
   7,500/16,150 = 16,150/x
3. Step 3: Cross multiply
   7,500x = 16,150 × 16,150
4. Step 4: Simplify right side
   7,500x = 260,822,500
5. Step 5: Solve for x
   x = 260,822,500/7,500
6. Step 6: Final answer
   x = 34,776.33