Finding the Third Proportional to 755.89 and 1,181.30

Step by Step Solution

1. Step 1: Write the proportion equation
   755.89 : 1,181.30 = 1,181.30 : x
2. Step 2: Convert to fraction form
   755.89/1,181.30 = 1,181.30/x
3. Step 3: Cross multiply
   755.89x = 1,181.30 × 1,181.30
4. Step 4: Simplify right side
   755.89x = 1,395,476.15
5. Step 5: Solve for x
   x = 1,395,476.15/755.89
6. Step 6: Final answer
   x = 1,846.13