Finding the Third Proportional to 2,321.63 and 3,597.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,321.63 : 3,597.38 = 3,597.38 : x
2. Step 2: Convert to fraction form
   2,321.63/3,597.38 = 3,597.38/x
3. Step 3: Cross multiply
   2,321.63x = 3,597.38 × 3,597.38
4. Step 4: Simplify right side
   2,321.63x = 12,941,106.89
5. Step 5: Solve for x
   x = 12,941,106.89/2,321.63
6. Step 6: Final answer
   x = 5,574.16