Finding the Third Proportional to 5,022 and 13,230

Step by Step Solution

1. Step 1: Write the proportion equation
   5,022 : 13,230 = 13,230 : x
2. Step 2: Convert to fraction form
   5,022/13,230 = 13,230/x
3. Step 3: Cross multiply
   5,022x = 13,230 × 13,230
4. Step 4: Simplify right side
   5,022x = 175,032,900
5. Step 5: Solve for x
   x = 175,032,900/5,022
6. Step 6: Final answer
   x = 34,853.23