Finding the Third Proportional to 514.05 and 751.89

Step by Step Solution

1. Step 1: Write the proportion equation
   514.05 : 751.89 = 751.89 : x
2. Step 2: Convert to fraction form
   514.05/751.89 = 751.89/x
3. Step 3: Cross multiply
   514.05x = 751.89 × 751.89
4. Step 4: Simplify right side
   514.05x = 565,333.64
5. Step 5: Solve for x
   x = 565,333.64/514.05
6. Step 6: Final answer
   x = 1,099.75