Finding the Third Proportional to 1,434 and 1,815

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434 : 1,815 = 1,815 : x
2. Step 2: Convert to fraction form
   1,434/1,815 = 1,815/x
3. Step 3: Cross multiply
   1,434x = 1,815 × 1,815
4. Step 4: Simplify right side
   1,434x = 3,294,225
5. Step 5: Solve for x
   x = 3,294,225/1,434
6. Step 6: Final answer
   x = 2,297.23