Finding the Third Proportional to 1,185.75 and 2,770.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.75 : 2,770.31 = 2,770.31 : x
2. Step 2: Convert to fraction form
   1,185.75/2,770.31 = 2,770.31/x
3. Step 3: Cross multiply
   1,185.75x = 2,770.31 × 2,770.31
4. Step 4: Simplify right side
   1,185.75x = 7,674,631.35
5. Step 5: Solve for x
   x = 7,674,631.35/1,185.75
6. Step 6: Final answer
   x = 6,472.39