Finding the Third Proportional to 543.38 and 1,186.31

Step by Step Solution

1. Step 1: Write the proportion equation
   543.38 : 1,186.31 = 1,186.31 : x
2. Step 2: Convert to fraction form
   543.38/1,186.31 = 1,186.31/x
3. Step 3: Cross multiply
   543.38x = 1,186.31 × 1,186.31
4. Step 4: Simplify right side
   543.38x = 1,407,337.35
5. Step 5: Solve for x
   x = 1,407,337.35/543.38
6. Step 6: Final answer
   x = 2,589.99