Finding the Third Proportional to 3,339.56 and 5,191.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,339.56 : 5,191.31 = 5,191.31 : x
2. Step 2: Convert to fraction form
   3,339.56/5,191.31 = 5,191.31/x
3. Step 3: Cross multiply
   3,339.56x = 5,191.31 × 5,191.31
4. Step 4: Simplify right side
   3,339.56x = 26,949,725.47
5. Step 5: Solve for x
   x = 26,949,725.47/3,339.56
6. Step 6: Final answer
   x = 8,069.84