Finding the Third Proportional to 2,658.19 and 5,820.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.19 : 5,820.28 = 5,820.28 : x
2. Step 2: Convert to fraction form
   2,658.19/5,820.28 = 5,820.28/x
3. Step 3: Cross multiply
   2,658.19x = 5,820.28 × 5,820.28
4. Step 4: Simplify right side
   2,658.19x = 33,875,673.83
5. Step 5: Solve for x
   x = 33,875,673.83/2,658.19
6. Step 6: Final answer
   x = 12,743.90