Finding the Third Proportional to 1,075.50 and 1,608.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,075.50 : 1,608.75 = 1,608.75 : x
2. Step 2: Convert to fraction form
   1,075.50/1,608.75 = 1,608.75/x
3. Step 3: Cross multiply
   1,075.50x = 1,608.75 × 1,608.75
4. Step 4: Simplify right side
   1,075.50x = 2,588,076.56
5. Step 5: Solve for x
   x = 2,588,076.56/1,075.50
6. Step 6: Final answer
   x = 2,406.39