Finding the Third Proportional to 7,500 and 16,233

Step by Step Solution

1. Step 1: Write the proportion equation
   7,500 : 16,233 = 16,233 : x
2. Step 2: Convert to fraction form
   7,500/16,233 = 16,233/x
3. Step 3: Cross multiply
   7,500x = 16,233 × 16,233
4. Step 4: Simplify right side
   7,500x = 263,510,289
5. Step 5: Solve for x
   x = 263,510,289/7,500
6. Step 6: Final answer
   x = 35,134.71