Finding the Third Proportional to 2,548.34 and 3,588.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,548.34 : 3,588.68 = 3,588.68 : x
2. Step 2: Convert to fraction form
   2,548.34/3,588.68 = 3,588.68/x
3. Step 3: Cross multiply
   2,548.34x = 3,588.68 × 3,588.68
4. Step 4: Simplify right side
   2,548.34x = 12,878,621.90
5. Step 5: Solve for x
   x = 12,878,621.90/2,548.34
6. Step 6: Final answer
   x = 5,053.74