Finding the Third Proportional to 2,548.42 and 3,588.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,548.42 : 3,588.76 = 3,588.76 : x
2. Step 2: Convert to fraction form
   2,548.42/3,588.76 = 3,588.76/x
3. Step 3: Cross multiply
   2,548.42x = 3,588.76 × 3,588.76
4. Step 4: Simplify right side
   2,548.42x = 12,879,189.65
5. Step 5: Solve for x
   x = 12,879,189.65/2,548.42
6. Step 6: Final answer
   x = 5,053.80