Finding the Third Proportional to 1,215.69 and 1,770.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,215.69 : 1,770.38 = 1,770.38 : x
2. Step 2: Convert to fraction form
   1,215.69/1,770.38 = 1,770.38/x
3. Step 3: Cross multiply
   1,215.69x = 1,770.38 × 1,770.38
4. Step 4: Simplify right side
   1,215.69x = 3,134,227.64
5. Step 5: Solve for x
   x = 3,134,227.64/1,215.69
6. Step 6: Final answer
   x = 2,578.15