Finding the Third Proportional to 514 and 1,095.25

Step by Step Solution

1. Step 1: Write the proportion equation
   514 : 1,095.25 = 1,095.25 : x
2. Step 2: Convert to fraction form
   514/1,095.25 = 1,095.25/x
3. Step 3: Cross multiply
   514x = 1,095.25 × 1,095.25
4. Step 4: Simplify right side
   514x = 1,199,572.56
5. Step 5: Solve for x
   x = 1,199,572.56/514
6. Step 6: Final answer
   x = 2,333.80