Finding the Third Proportional to 740 and 1,150.25

Step by Step Solution

1. Step 1: Write the proportion equation
   740 : 1,150.25 = 1,150.25 : x
2. Step 2: Convert to fraction form
   740/1,150.25 = 1,150.25/x
3. Step 3: Cross multiply
   740x = 1,150.25 × 1,150.25
4. Step 4: Simplify right side
   740x = 1,323,075.06
5. Step 5: Solve for x
   x = 1,323,075.06/740
6. Step 6: Final answer
   x = 1,787.94