Finding the Third Proportional to 748.69 and 1,131.75

Step by Step Solution

1. Step 1: Write the proportion equation
   748.69 : 1,131.75 = 1,131.75 : x
2. Step 2: Convert to fraction form
   748.69/1,131.75 = 1,131.75/x
3. Step 3: Cross multiply
   748.69x = 1,131.75 × 1,131.75
4. Step 4: Simplify right side
   748.69x = 1,280,858.06
5. Step 5: Solve for x
   x = 1,280,858.06/748.69
6. Step 6: Final answer
   x = 1,710.80