Finding the Third Proportional to 10,530 and 18,468

Step by Step Solution

1. Step 1: Write the proportion equation
   10,530 : 18,468 = 18,468 : x
2. Step 2: Convert to fraction form
   10,530/18,468 = 18,468/x
3. Step 3: Cross multiply
   10,530x = 18,468 × 18,468
4. Step 4: Simplify right side
   10,530x = 341,067,024
5. Step 5: Solve for x
   x = 341,067,024/10,530
6. Step 6: Final answer
   x = 32,390.03