Finding the Third Proportional to 2,747.67 and 4,531.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,747.67 : 4,531.57 = 4,531.57 : x
2. Step 2: Convert to fraction form
   2,747.67/4,531.57 = 4,531.57/x
3. Step 3: Cross multiply
   2,747.67x = 4,531.57 × 4,531.57
4. Step 4: Simplify right side
   2,747.67x = 20,535,129.50
5. Step 5: Solve for x
   x = 20,535,129.50/2,747.67
6. Step 6: Final answer
   x = 7,473.65