Finding the Third Proportional to 30,530 and 45,543

Step by Step Solution

1. Step 1: Write the proportion equation
   30,530 : 45,543 = 45,543 : x
2. Step 2: Convert to fraction form
   30,530/45,543 = 45,543/x
3. Step 3: Cross multiply
   30,530x = 45,543 × 45,543
4. Step 4: Simplify right side
   30,530x = 2,074,164,849
5. Step 5: Solve for x
   x = 2,074,164,849/30,530
6. Step 6: Final answer
   x = 67,938.58