Finding the Third Proportional to 3,211.31 and 5,374.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,211.31 : 5,374.69 = 5,374.69 : x
2. Step 2: Convert to fraction form
   3,211.31/5,374.69 = 5,374.69/x
3. Step 3: Cross multiply
   3,211.31x = 5,374.69 × 5,374.69
4. Step 4: Simplify right side
   3,211.31x = 28,887,265.72
5. Step 5: Solve for x
   x = 28,887,265.72/3,211.31
6. Step 6: Final answer
   x = 8,995.47