Finding the Third Proportional to 756.75 and 1,185.38

Step by Step Solution

1. Step 1: Write the proportion equation
   756.75 : 1,185.38 = 1,185.38 : x
2. Step 2: Convert to fraction form
   756.75/1,185.38 = 1,185.38/x
3. Step 3: Cross multiply
   756.75x = 1,185.38 × 1,185.38
4. Step 4: Simplify right side
   756.75x = 1,405,113.89
5. Step 5: Solve for x
   x = 1,405,113.89/756.75
6. Step 6: Final answer
   x = 1,856.77