Finding the Third Proportional to 1,870 and 2,780

Step by Step Solution

1. Step 1: Write the proportion equation
   1,870 : 2,780 = 2,780 : x
2. Step 2: Convert to fraction form
   1,870/2,780 = 2,780/x
3. Step 3: Cross multiply
   1,870x = 2,780 × 2,780
4. Step 4: Simplify right side
   1,870x = 7,728,400
5. Step 5: Solve for x
   x = 7,728,400/1,870
6. Step 6: Final answer
   x = 4,132.83