Finding the Third Proportional to 3,196.13 and 4,588.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,196.13 : 4,588.31 = 4,588.31 : x
2. Step 2: Convert to fraction form
   3,196.13/4,588.31 = 4,588.31/x
3. Step 3: Cross multiply
   3,196.13x = 4,588.31 × 4,588.31
4. Step 4: Simplify right side
   3,196.13x = 21,052,611.60
5. Step 5: Solve for x
   x = 21,052,611.60/3,196.13
6. Step 6: Final answer
   x = 6,586.92