Finding the Third Proportional to 756 and 1,182.25

Step by Step Solution

1. Step 1: Write the proportion equation
   756 : 1,182.25 = 1,182.25 : x
2. Step 2: Convert to fraction form
   756/1,182.25 = 1,182.25/x
3. Step 3: Cross multiply
   756x = 1,182.25 × 1,182.25
4. Step 4: Simplify right side
   756x = 1,397,715.06
5. Step 5: Solve for x
   x = 1,397,715.06/756
6. Step 6: Final answer
   x = 1,848.83