Finding the Third Proportional to 1,075.59 and 1,633.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.59 : 1,633.78 = 1,633.78 : x
2. Step 2: Convert to fraction form
   1,075.59/1,633.78 = 1,633.78/x
3. Step 3: Cross multiply
   1,075.59x = 1,633.78 × 1,633.78
4. Step 4: Simplify right side
   1,075.59x = 2,669,241.17
5. Step 5: Solve for x
   x = 2,669,241.17/1,075.59
6. Step 6: Final answer
   x = 2,481.64