Finding the Third Proportional to 1,404 and 1,578

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404 : 1,578 = 1,578 : x
2. Step 2: Convert to fraction form
   1,404/1,578 = 1,578/x
3. Step 3: Cross multiply
   1,404x = 1,578 × 1,578
4. Step 4: Simplify right side
   1,404x = 2,490,084
5. Step 5: Solve for x
   x = 2,490,084/1,404
6. Step 6: Final answer
   x = 1,773.56