Finding the Third Proportional to 1,075.78 and 1,645.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.78 : 1,645.31 = 1,645.31 : x
2. Step 2: Convert to fraction form
   1,075.78/1,645.31 = 1,645.31/x
3. Step 3: Cross multiply
   1,075.78x = 1,645.31 × 1,645.31
4. Step 4: Simplify right side
   1,075.78x = 2,707,053.22
5. Step 5: Solve for x
   x = 2,707,053.22/1,075.78
6. Step 6: Final answer
   x = 2,516.36