Finding the Third Proportional to 5,949.56 and 8,357.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,949.56 : 8,357.34 = 8,357.34 : x
2. Step 2: Convert to fraction form
   5,949.56/8,357.34 = 8,357.34/x
3. Step 3: Cross multiply
   5,949.56x = 8,357.34 × 8,357.34
4. Step 4: Simplify right side
   5,949.56x = 69,845,194.56
5. Step 5: Solve for x
   x = 69,845,194.56/5,949.56
6. Step 6: Final answer
   x = 11,739.55