Finding the Third Proportional to 3,538.69 and 8,446.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,538.69 : 8,446.78 = 8,446.78 : x
2. Step 2: Convert to fraction form
   3,538.69/8,446.78 = 8,446.78/x
3. Step 3: Cross multiply
   3,538.69x = 8,446.78 × 8,446.78
4. Step 4: Simplify right side
   3,538.69x = 71,348,113.49
5. Step 5: Solve for x
   x = 71,348,113.49/3,538.69
6. Step 6: Final answer
   x = 20,162.31