Finding the Third Proportional to 1,512.84 and 1,918.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,512.84 : 1,918.69 = 1,918.69 : x
2. Step 2: Convert to fraction form
   1,512.84/1,918.69 = 1,918.69/x
3. Step 3: Cross multiply
   1,512.84x = 1,918.69 × 1,918.69
4. Step 4: Simplify right side
   1,512.84x = 3,681,361.72
5. Step 5: Solve for x
   x = 3,681,361.72/1,512.84
6. Step 6: Final answer
   x = 2,433.41