Finding the Third Proportional to 1,075.81 and 2,281.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.81 : 2,281.37 = 2,281.37 : x
2. Step 2: Convert to fraction form
   1,075.81/2,281.37 = 2,281.37/x
3. Step 3: Cross multiply
   1,075.81x = 2,281.37 × 2,281.37
4. Step 4: Simplify right side
   1,075.81x = 5,204,663.26
5. Step 5: Solve for x
   x = 5,204,663.26/1,075.81
6. Step 6: Final answer
   x = 4,837.89