Finding the Third Proportional to 1,077.25 and 1,614.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.25 : 1,614.38 = 1,614.38 : x
2. Step 2: Convert to fraction form
   1,077.25/1,614.38 = 1,614.38/x
3. Step 3: Cross multiply
   1,077.25x = 1,614.38 × 1,614.38
4. Step 4: Simplify right side
   1,077.25x = 2,606,206.64
5. Step 5: Solve for x
   x = 2,606,206.64/1,077.25
6. Step 6: Final answer
   x = 2,419.31