Finding the Third Proportional to 545.75 and 1,189.38

Step by Step Solution

1. Step 1: Write the proportion equation
   545.75 : 1,189.38 = 1,189.38 : x
2. Step 2: Convert to fraction form
   545.75/1,189.38 = 1,189.38/x
3. Step 3: Cross multiply
   545.75x = 1,189.38 × 1,189.38
4. Step 4: Simplify right side
   545.75x = 1,414,612.89
5. Step 5: Solve for x
   x = 1,414,612.89/545.75
6. Step 6: Final answer
   x = 2,592.05