Finding the Third Proportional to 1,404.56 and 2,065.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.56 : 2,065.78 = 2,065.78 : x
2. Step 2: Convert to fraction form
   1,404.56/2,065.78 = 2,065.78/x
3. Step 3: Cross multiply
   1,404.56x = 2,065.78 × 2,065.78
4. Step 4: Simplify right side
   1,404.56x = 4,267,452.17
5. Step 5: Solve for x
   x = 4,267,452.17/1,404.56
6. Step 6: Final answer
   x = 3,038.28