Finding the Third Proportional to 13,195 and 31,530

Step by Step Solution

1. Step 1: Write the proportion equation
   13,195 : 31,530 = 31,530 : x
2. Step 2: Convert to fraction form
   13,195/31,530 = 31,530/x
3. Step 3: Cross multiply
   13,195x = 31,530 × 31,530
4. Step 4: Simplify right side
   13,195x = 994,140,900
5. Step 5: Solve for x
   x = 994,140,900/13,195
6. Step 6: Final answer
   x = 75,342.24