Finding the Third Proportional to 2,300.63 and 3,658.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,300.63 : 3,658.31 = 3,658.31 : x
2. Step 2: Convert to fraction form
   2,300.63/3,658.31 = 3,658.31/x
3. Step 3: Cross multiply
   2,300.63x = 3,658.31 × 3,658.31
4. Step 4: Simplify right side
   2,300.63x = 13,383,250.35
5. Step 5: Solve for x
   x = 13,383,250.35/2,300.63
6. Step 6: Final answer
   x = 5,817.22