Finding the Third Proportional to 567 and 1,186.31

Step by Step Solution

1. Step 1: Write the proportion equation
   567 : 1,186.31 = 1,186.31 : x
2. Step 2: Convert to fraction form
   567/1,186.31 = 1,186.31/x
3. Step 3: Cross multiply
   567x = 1,186.31 × 1,186.31
4. Step 4: Simplify right side
   567x = 1,407,337.35
5. Step 5: Solve for x
   x = 1,407,337.35/567
6. Step 6: Final answer
   x = 2,482.08