Finding the Third Proportional to 3,438 and 3,870

Step by Step Solution

1. Step 1: Write the proportion equation
   3,438 : 3,870 = 3,870 : x
2. Step 2: Convert to fraction form
   3,438/3,870 = 3,870/x
3. Step 3: Cross multiply
   3,438x = 3,870 × 3,870
4. Step 4: Simplify right side
   3,438x = 14,976,900
5. Step 5: Solve for x
   x = 14,976,900/3,438
6. Step 6: Final answer
   x = 4,356.28